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Finding the Fourth Proportional to 543.82, 815.72 and 132.96

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Solution

The fourth proportional to 543.82, 815.72 and 132.96 is: 199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.82 : 815.72 = 132.96 : x
  2. Step 2: Convert to fraction form
    543.82/815.72 = 132.96/x
  3. Step 3: Cross multiply
    543.82x = 815.72 × 132.96
  4. Step 4: Simplify right side
    543.82x = 108,454.05
  5. Step 5: Solve for x
    x = 108,454.05/543.82
  6. Step 6: Final answer
    x = 199.43

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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.