Let me share my experience....
I always had a pretty poor strength:weight ratio. But I wanted to start doing chins.... so I started with an underhand grip (palms facing you) with my hands a bit less than shoulder width apart. I could only do a few reps.... but even when I couldn't complete a full rep, I would continue doing as much of the rep as I could for a few times. Even if it was noly a few inches.
Surpringly with things like dips and chins, exercises where you use your own bodyweight, people seem to improve very fast. So after a while I was able to change to an overhand grip (palms facing forward).... and gradually, I widened my grip.
At my best, I could do 13 reps in one set with a wide, overhand grip. Nothing to write home about, but certainly an improvement.... since when I began, I could do only 3-4 with a close, underhand grip.
Maybe try building up like that. You'll be surprised how fast you improve.