Finding the Fourth Proportional to 185.30, 277.38 and 152.72

Step by Step Solution

1. Step 1: Write the proportion equation
   185.30 : 277.38 = 152.72 : x
2. Step 2: Convert to fraction form
   185.30/277.38 = 152.72/x
3. Step 3: Cross multiply
   185.30x = 277.38 × 152.72
4. Step 4: Simplify right side
   185.30x = 42,361.47
5. Step 5: Solve for x
   x = 42,361.47/185.30
6. Step 6: Final answer
   x = 228.61