Finding the Fourth Proportional to 255.98, 383.58 and 111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   255.98 : 383.58 = 111.50 : x
2. Step 2: Convert to fraction form
   255.98/383.58 = 111.50/x
3. Step 3: Cross multiply
   255.98x = 383.58 × 111.50
4. Step 4: Simplify right side
   255.98x = 42,769.17
5. Step 5: Solve for x
   x = 42,769.17/255.98
6. Step 6: Final answer
   x = 167.08