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Finding the Fourth Proportional to 398.70, 595.20 and 337.14

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Solution

The fourth proportional to 398.70, 595.20 and 337.14 is: 503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.70 : 595.20 = 337.14 : x
  2. Step 2: Convert to fraction form
    398.70/595.20 = 337.14/x
  3. Step 3: Cross multiply
    398.70x = 595.20 × 337.14
  4. Step 4: Simplify right side
    398.70x = 200,665.73
  5. Step 5: Solve for x
    x = 200,665.73/398.70
  6. Step 6: Final answer
    x = 503.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.