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Finding the Fourth Proportional to 432.73, 649.40 and 237.82

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Solution

The fourth proportional to 432.73, 649.40 and 237.82 is: 356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.73 : 649.40 = 237.82 : x
  2. Step 2: Convert to fraction form
    432.73/649.40 = 237.82/x
  3. Step 3: Cross multiply
    432.73x = 649.40 × 237.82
  4. Step 4: Simplify right side
    432.73x = 154,440.31
  5. Step 5: Solve for x
    x = 154,440.31/432.73
  6. Step 6: Final answer
    x = 356.90

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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.