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Finding the Fourth Proportional to 297.98, 447.15 and 161.12

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Solution

The fourth proportional to 297.98, 447.15 and 161.12 is: 241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 447.15 = 161.12 : x
  2. Step 2: Convert to fraction form
    297.98/447.15 = 161.12/x
  3. Step 3: Cross multiply
    297.98x = 447.15 × 161.12
  4. Step 4: Simplify right side
    297.98x = 72,046.53
  5. Step 5: Solve for x
    x = 72,046.53/297.98
  6. Step 6: Final answer
    x = 241.78

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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.