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Finding the Fourth Proportional to 543.32, 814.97 and 132.46

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Solution

The fourth proportional to 543.32, 814.97 and 132.46 is: 198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.32 : 814.97 = 132.46 : x
  2. Step 2: Convert to fraction form
    543.32/814.97 = 132.46/x
  3. Step 3: Cross multiply
    543.32x = 814.97 × 132.46
  4. Step 4: Simplify right side
    543.32x = 107,946.85
  5. Step 5: Solve for x
    x = 107,946.85/543.32
  6. Step 6: Final answer
    x = 198.68

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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.