Finding the Fourth Proportional to 213.86, 294.69 and 200.42

Step by Step Solution

1. Step 1: Write the proportion equation
   213.86 : 294.69 = 200.42 : x
2. Step 2: Convert to fraction form
   213.86/294.69 = 200.42/x
3. Step 3: Cross multiply
   213.86x = 294.69 × 200.42
4. Step 4: Simplify right side
   213.86x = 59,061.77
5. Step 5: Solve for x
   x = 59,061.77/213.86
6. Step 6: Final answer
   x = 276.17