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Finding the Fourth Proportional to 323.92, 487.80 and 272.89

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Solution

The fourth proportional to 323.92, 487.80 and 272.89 is: 410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.92 : 487.80 = 272.89 : x
  2. Step 2: Convert to fraction form
    323.92/487.80 = 272.89/x
  3. Step 3: Cross multiply
    323.92x = 487.80 × 272.89
  4. Step 4: Simplify right side
    323.92x = 133,115.74
  5. Step 5: Solve for x
    x = 133,115.74/323.92
  6. Step 6: Final answer
    x = 410.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.