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Finding the Fourth Proportional to 337.71, 503.21 and 328.29

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Solution

The fourth proportional to 337.71, 503.21 and 328.29 is: 489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.71 : 503.21 = 328.29 : x
  2. Step 2: Convert to fraction form
    337.71/503.21 = 328.29/x
  3. Step 3: Cross multiply
    337.71x = 503.21 × 328.29
  4. Step 4: Simplify right side
    337.71x = 165,198.81
  5. Step 5: Solve for x
    x = 165,198.81/337.71
  6. Step 6: Final answer
    x = 489.17

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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.