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Finding the Fourth Proportional to 363.74, 545.61 and 282.35

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Solution

The fourth proportional to 363.74, 545.61 and 282.35 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.74 : 545.61 = 282.35 : x
  2. Step 2: Convert to fraction form
    363.74/545.61 = 282.35/x
  3. Step 3: Cross multiply
    363.74x = 545.61 × 282.35
  4. Step 4: Simplify right side
    363.74x = 154,052.98
  5. Step 5: Solve for x
    x = 154,052.98/363.74
  6. Step 6: Final answer
    x = 423.53

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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.