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Finding the Fourth Proportional to 432.31, 647.88 and 237.02

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Solution

The fourth proportional to 432.31, 647.88 and 237.02 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.31 : 647.88 = 237.02 : x
  2. Step 2: Convert to fraction form
    432.31/647.88 = 237.02/x
  3. Step 3: Cross multiply
    432.31x = 647.88 × 237.02
  4. Step 4: Simplify right side
    432.31x = 153,560.52
  5. Step 5: Solve for x
    x = 153,560.52/432.31
  6. Step 6: Final answer
    x = 355.21

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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.