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Finding the Fourth Proportional to 543.27, 814.89 and 132.39

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Solution

The fourth proportional to 543.27, 814.89 and 132.39 is: 198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.27 : 814.89 = 132.39 : x
  2. Step 2: Convert to fraction form
    543.27/814.89 = 132.39/x
  3. Step 3: Cross multiply
    543.27x = 814.89 × 132.39
  4. Step 4: Simplify right side
    543.27x = 107,883.29
  5. Step 5: Solve for x
    x = 107,883.29/543.27
  6. Step 6: Final answer
    x = 198.58

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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.