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Finding the Fourth Proportional to 478.43, 660.19 and 291.97

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Solution

The fourth proportional to 478.43, 660.19 and 291.97 is: 402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.43 : 660.19 = 291.97 : x
  2. Step 2: Convert to fraction form
    478.43/660.19 = 291.97/x
  3. Step 3: Cross multiply
    478.43x = 660.19 × 291.97
  4. Step 4: Simplify right side
    478.43x = 192,753.12
  5. Step 5: Solve for x
    x = 192,753.12/478.43
  6. Step 6: Final answer
    x = 402.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.