Finding the Fourth Proportional to 185.31, 277.78 and 152.91

Step by Step Solution

1. Step 1: Write the proportion equation
   185.31 : 277.78 = 152.91 : x
2. Step 2: Convert to fraction form
   185.31/277.78 = 152.91/x
3. Step 3: Cross multiply
   185.31x = 277.78 × 152.91
4. Step 4: Simplify right side
   185.31x = 42,475.34
5. Step 5: Solve for x
   x = 42,475.34/185.31
6. Step 6: Final answer
   x = 229.21