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Finding the Fourth Proportional to 574.31, 861.49 and 141.47

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Solution

The fourth proportional to 574.31, 861.49 and 141.47 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.31 : 861.49 = 141.47 : x
  2. Step 2: Convert to fraction form
    574.31/861.49 = 141.47/x
  3. Step 3: Cross multiply
    574.31x = 861.49 × 141.47
  4. Step 4: Simplify right side
    574.31x = 121,873.29
  5. Step 5: Solve for x
    x = 121,873.29/574.31
  6. Step 6: Final answer
    x = 212.21

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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.