Hello.
Usually, to establish the tempo of a piece, in addition to indications such as "presto, andante, piu' mosso, moderato", etc. on the score, the numerical value to be set on the metronome should appear.
Associated with the numerical value (with the symbol =) there is a musical figure: eighth note, quarter note or others.
If, for example, you find a piece in 3/8 with specified Eighth Note = 130, it means that at every metronome beat you must perform an eighth note at a speed of 130 BPM (beats per minute).
So the metronome with three "clicks" or beats (if you have a good mechanical metronome) counts a measure of 3/8.
A moderate tempo on the metronome is given between 80 and 100, I believe... Now try to feel the difference in speed between eighth note = 80 and quarter note = 80.
As far as time signatures are concerned, it seems from your question that you possess an electronic metronome set only to 4/4. There is probably a stronger click on the first of the 4 beats that make up the measure.
You should have the possibility to move the stronger click every three beats so that you can hear a ternary time like three-quarter or three-eighths......
Unfortunately, all this is easier to do than to write. With a common mechanical metronome, usually every beat is equal in volume to the others... so you just have to decide which one is our One.
Certain that I have irremediably driven you away from music, I greet you cordially!!
Oops! I believe that Maestro Carlos (who beat me in speed...) will surely be able to update you better than I can!!