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Finding the Fourth Proportional to 414.70, 572.10 and 257.29

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Solution

The fourth proportional to 414.70, 572.10 and 257.29 is: 354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 572.10 = 257.29 : x
  2. Step 2: Convert to fraction form
    414.70/572.10 = 257.29/x
  3. Step 3: Cross multiply
    414.70x = 572.10 × 257.29
  4. Step 4: Simplify right side
    414.70x = 147,195.61
  5. Step 5: Solve for x
    x = 147,195.61/414.70
  6. Step 6: Final answer
    x = 354.94

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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.