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Finding the Fourth Proportional to 363.71, 545.55 and 147.28

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Solution

The fourth proportional to 363.71, 545.55 and 147.28 is: 220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.71 : 545.55 = 147.28 : x
  2. Step 2: Convert to fraction form
    363.71/545.55 = 147.28/x
  3. Step 3: Cross multiply
    363.71x = 545.55 × 147.28
  4. Step 4: Simplify right side
    363.71x = 80,348.60
  5. Step 5: Solve for x
    x = 80,348.60/363.71
  6. Step 6: Final answer
    x = 220.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.