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Finding the Fourth Proportional to 297.97, 447.11 and 168.12

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Solution

The fourth proportional to 297.97, 447.11 and 168.12 is: 252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.97 : 447.11 = 168.12 : x
  2. Step 2: Convert to fraction form
    297.97/447.11 = 168.12/x
  3. Step 3: Cross multiply
    297.97x = 447.11 × 168.12
  4. Step 4: Simplify right side
    297.97x = 75,168.13
  5. Step 5: Solve for x
    x = 75,168.13/297.97
  6. Step 6: Final answer
    x = 252.27

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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.