Finding the Fourth Proportional to 225.82, 311.52 and 137.31

Step by Step Solution

1. Step 1: Write the proportion equation
   225.82 : 311.52 = 137.31 : x
2. Step 2: Convert to fraction form
   225.82/311.52 = 137.31/x
3. Step 3: Cross multiply
   225.82x = 311.52 × 137.31
4. Step 4: Simplify right side
   225.82x = 42,774.81
5. Step 5: Solve for x
   x = 42,774.81/225.82
6. Step 6: Final answer
   x = 189.42