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Finding the Fourth Proportional to 487.17, 731.09 and 213.11

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Solution

The fourth proportional to 487.17, 731.09 and 213.11 is: 319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.17 : 731.09 = 213.11 : x
  2. Step 2: Convert to fraction form
    487.17/731.09 = 213.11/x
  3. Step 3: Cross multiply
    487.17x = 731.09 × 213.11
  4. Step 4: Simplify right side
    487.17x = 155,798.67
  5. Step 5: Solve for x
    x = 155,798.67/487.17
  6. Step 6: Final answer
    x = 319.80

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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.