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Finding the Fourth Proportional to 337.32, 502.49 and 327.12

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Solution

The fourth proportional to 337.32, 502.49 and 327.12 is: 487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.32 : 502.49 = 327.12 : x
  2. Step 2: Convert to fraction form
    337.32/502.49 = 327.12/x
  3. Step 3: Cross multiply
    337.32x = 502.49 × 327.12
  4. Step 4: Simplify right side
    337.32x = 164,376.29
  5. Step 5: Solve for x
    x = 164,376.29/337.32
  6. Step 6: Final answer
    x = 487.30

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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.