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Finding the Fourth Proportional to 297.86, 447.21 and 168.11

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Solution

The fourth proportional to 297.86, 447.21 and 168.11 is: 252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 447.21 = 168.11 : x
  2. Step 2: Convert to fraction form
    297.86/447.21 = 168.11/x
  3. Step 3: Cross multiply
    297.86x = 447.21 × 168.11
  4. Step 4: Simplify right side
    297.86x = 75,180.47
  5. Step 5: Solve for x
    x = 75,180.47/297.86
  6. Step 6: Final answer
    x = 252.40

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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.