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Finding the Fourth Proportional to 363.80, 545.64 and 120.30

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Solution

The fourth proportional to 363.80, 545.64 and 120.30 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 545.64 = 120.30 : x
  2. Step 2: Convert to fraction form
    363.80/545.64 = 120.30/x
  3. Step 3: Cross multiply
    363.80x = 545.64 × 120.30
  4. Step 4: Simplify right side
    363.80x = 65,640.49
  5. Step 5: Solve for x
    x = 65,640.49/363.80
  6. Step 6: Final answer
    x = 180.43

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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.