One fourth of m is 3 more than 7. What is the value of m?

This is a basic algebraic word problem that can be solved by forming an equation.

Step 1: Translate the statement into an equation
“One fourth of m” = m/4
“is 3 more than 7” = 7 + 3

So, the equation becomes:
m/4 = 10

Step 2: Solve the equation
Multiply both sides by 4:
m = 10 × 4
m = 40

Verification:
One fourth of 40 = 40/4 = 10
10 is 3 more than 7, so the solution is correct.

Conclusion:
The value of m is 40.