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Finding the Fourth Proportional to 363.97, 545.97 and 107.47

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Solution

The fourth proportional to 363.97, 545.97 and 107.47 is: 161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 545.97 = 107.47 : x
  2. Step 2: Convert to fraction form
    363.97/545.97 = 107.47/x
  3. Step 3: Cross multiply
    363.97x = 545.97 × 107.47
  4. Step 4: Simplify right side
    363.97x = 58,675.40
  5. Step 5: Solve for x
    x = 58,675.40/363.97
  6. Step 6: Final answer
    x = 161.21

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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.