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Finding the Fourth Proportional to 363.66, 545.67 and 315.78

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Solution

The fourth proportional to 363.66, 545.67 and 315.78 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.66 : 545.67 = 315.78 : x
  2. Step 2: Convert to fraction form
    363.66/545.67 = 315.78/x
  3. Step 3: Cross multiply
    363.66x = 545.67 × 315.78
  4. Step 4: Simplify right side
    363.66x = 172,311.67
  5. Step 5: Solve for x
    x = 172,311.67/363.66
  6. Step 6: Final answer
    x = 473.83

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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.