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Finding the Fourth Proportional to 363.68, 545.14 and 217.42

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Solution

The fourth proportional to 363.68, 545.14 and 217.42 is: 325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.68 : 545.14 = 217.42 : x
  2. Step 2: Convert to fraction form
    363.68/545.14 = 217.42/x
  3. Step 3: Cross multiply
    363.68x = 545.14 × 217.42
  4. Step 4: Simplify right side
    363.68x = 118,524.34
  5. Step 5: Solve for x
    x = 118,524.34/363.68
  6. Step 6: Final answer
    x = 325.90

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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.