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Finding the Fourth Proportional to 363.29, 545.13 and 147.02

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Solution

The fourth proportional to 363.29, 545.13 and 147.02 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.29 : 545.13 = 147.02 : x
  2. Step 2: Convert to fraction form
    363.29/545.13 = 147.02/x
  3. Step 3: Cross multiply
    363.29x = 545.13 × 147.02
  4. Step 4: Simplify right side
    363.29x = 80,142.29
  5. Step 5: Solve for x
    x = 80,142.29/363.29
  6. Step 6: Final answer
    x = 220.60

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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.