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Finding the Fourth Proportional to 337.62, 502.32 and 320.34

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Solution

The fourth proportional to 337.62, 502.32 and 320.34 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.62 : 502.32 = 320.34 : x
  2. Step 2: Convert to fraction form
    337.62/502.32 = 320.34/x
  3. Step 3: Cross multiply
    337.62x = 502.32 × 320.34
  4. Step 4: Simplify right side
    337.62x = 160,913.19
  5. Step 5: Solve for x
    x = 160,913.19/337.62
  6. Step 6: Final answer
    x = 476.61

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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.