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Finding the Fourth Proportional to 363.55, 545.17 and 144.14

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Solution

The fourth proportional to 363.55, 545.17 and 144.14 is: 216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.55 : 545.17 = 144.14 : x
  2. Step 2: Convert to fraction form
    363.55/545.17 = 144.14/x
  3. Step 3: Cross multiply
    363.55x = 545.17 × 144.14
  4. Step 4: Simplify right side
    363.55x = 78,580.80
  5. Step 5: Solve for x
    x = 78,580.80/363.55
  6. Step 6: Final answer
    x = 216.15

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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.