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Finding the Fourth Proportional to 237.43, 355.95 and 83.31

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Solution

The fourth proportional to 237.43, 355.95 and 83.31 is: 124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.43 : 355.95 = 83.31 : x
  2. Step 2: Convert to fraction form
    237.43/355.95 = 83.31/x
  3. Step 3: Cross multiply
    237.43x = 355.95 × 83.31
  4. Step 4: Simplify right side
    237.43x = 29,654.19
  5. Step 5: Solve for x
    x = 29,654.19/237.43
  6. Step 6: Final answer
    x = 124.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.