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Finding the Fourth Proportional to 363.95, 545.96 and 147.47

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Solution

The fourth proportional to 363.95, 545.96 and 147.47 is: 221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 545.96 = 147.47 : x
  2. Step 2: Convert to fraction form
    363.95/545.96 = 147.47/x
  3. Step 3: Cross multiply
    363.95x = 545.96 × 147.47
  4. Step 4: Simplify right side
    363.95x = 80,514.45
  5. Step 5: Solve for x
    x = 80,514.45/363.95
  6. Step 6: Final answer
    x = 221.23

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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.