Finding the Fourth Proportional to 185.82, 278.52 and 153.42

Step by Step Solution

1. Step 1: Write the proportion equation
   185.82 : 278.52 = 153.42 : x
2. Step 2: Convert to fraction form
   185.82/278.52 = 153.42/x
3. Step 3: Cross multiply
   185.82x = 278.52 × 153.42
4. Step 4: Simplify right side
   185.82x = 42,730.54
5. Step 5: Solve for x
   x = 42,730.54/185.82
6. Step 6: Final answer
   x = 229.96