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Finding the Fourth Proportional to 487.14, 731.05 and 213.09

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Solution

The fourth proportional to 487.14, 731.05 and 213.09 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.14 : 731.05 = 213.09 : x
  2. Step 2: Convert to fraction form
    487.14/731.05 = 213.09/x
  3. Step 3: Cross multiply
    487.14x = 731.05 × 213.09
  4. Step 4: Simplify right side
    487.14x = 155,779.44
  5. Step 5: Solve for x
    x = 155,779.44/487.14
  6. Step 6: Final answer
    x = 319.78

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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.