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Finding the Fourth Proportional to 298.27, 447.42 and 81.85

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Solution

The fourth proportional to 298.27, 447.42 and 81.85 is: 122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.27 : 447.42 = 81.85 : x
  2. Step 2: Convert to fraction form
    298.27/447.42 = 81.85/x
  3. Step 3: Cross multiply
    298.27x = 447.42 × 81.85
  4. Step 4: Simplify right side
    298.27x = 36,621.33
  5. Step 5: Solve for x
    x = 36,621.33/298.27
  6. Step 6: Final answer
    x = 122.78

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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.