Old 70s Tascam kit with 1/4" mic sockets usually had a medium impedance input - I think 12K from memory and a fairly wide range gain control so you could plug in 600Ohm mics, line inputs from tape machines and guitars reasonably successfully. You'd dull up the guitars a bit because the lowish impedance loaded the pickups, but they did work. Gain on a standard 600Ohm mic was not that bad at all.
The only real issue here is that given that I think the OP is using an in-line phantom power supply, so the usual unbalancing method i.e. connecting pins 1 and 2, or 1 and 3 won't work because it shorts one leg of the phantom power.
If you have an XLR female to the 1/4" cable you don't mind sacrificing, or best of all can solder - there is one FREE method that might work for yo and retain the quality of the mic. You simply re-wire the cable so that pin 2 goes to the jack tip and pin 3 goes to the jack screen/shield. No connection at all on pin 1 - the mic ground. If the mic ground connects to the recorder chassis at any point, this big fails. However, my memory of these Tascams is that they had a two wire power connection and the grounds were not connected to it's metalwork at all.
Back in the days I was a teenager, I just chopped the XLR to jack cable and re-connected the wires with a plastic block connector, leaving the screen cut short on the mic side so it didn't connect. You can then forget the transformer. Somewhere, I still have the one I bought back then to do the job properly - it had a female XLR with a dangly 1/4" on a bit of cable hanging out the other end, and did the job.
Guys - where has all the experimentation and trying things out gone? This whole section is for people who want to get old gear back into use, and some of it sound wise is by modern standards er, a little dated - so instead of constantly looking for purpose made adapters, try experimenting a bit. You can choose to spend nothing, a bit or a lot. You can totally NOT learn to solder, or you can give it a shot. Best thing I ever learned to do in my teens. Thousands probably of mic cables over the years by now.
The idea is to throw ideas in - we have loads of suggestions now. Some more technically advanced than others, but how many times have I tried something found it worked and used it, not realising there were different and better ways? Loads.
There is one important question. What does it sound like?
