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Finding the Fourth Proportional to 363.82, 545.55 and 132.70

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Solution

The fourth proportional to 363.82, 545.55 and 132.70 is: 198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.82 : 545.55 = 132.70 : x
  2. Step 2: Convert to fraction form
    363.82/545.55 = 132.70/x
  3. Step 3: Cross multiply
    363.82x = 545.55 × 132.70
  4. Step 4: Simplify right side
    363.82x = 72,394.49
  5. Step 5: Solve for x
    x = 72,394.49/363.82
  6. Step 6: Final answer
    x = 198.98

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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.