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Finding the Fourth Proportional to 487.84, 731.13 and 213.61

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Solution

The fourth proportional to 487.84, 731.13 and 213.61 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.84 : 731.13 = 213.61 : x
  2. Step 2: Convert to fraction form
    487.84/731.13 = 213.61/x
  3. Step 3: Cross multiply
    487.84x = 731.13 × 213.61
  4. Step 4: Simplify right side
    487.84x = 156,176.68
  5. Step 5: Solve for x
    x = 156,176.68/487.84
  6. Step 6: Final answer
    x = 320.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.