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Finding the Fourth Proportional to 298.31, 447.41 and 81.83

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Solution

The fourth proportional to 298.31, 447.41 and 81.83 is: 122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.31 : 447.41 = 81.83 : x
  2. Step 2: Convert to fraction form
    298.31/447.41 = 81.83/x
  3. Step 3: Cross multiply
    298.31x = 447.41 × 81.83
  4. Step 4: Simplify right side
    298.31x = 36,612.27
  5. Step 5: Solve for x
    x = 36,612.27/298.31
  6. Step 6: Final answer
    x = 122.73

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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.