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Finding the Fourth Proportional to 363.62, 545.34 and 147.08

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Solution

The fourth proportional to 363.62, 545.34 and 147.08 is: 220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.62 : 545.34 = 147.08 : x
  2. Step 2: Convert to fraction form
    363.62/545.34 = 147.08/x
  3. Step 3: Cross multiply
    363.62x = 545.34 × 147.08
  4. Step 4: Simplify right side
    363.62x = 80,208.61
  5. Step 5: Solve for x
    x = 80,208.61/363.62
  6. Step 6: Final answer
    x = 220.58

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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.