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Finding the Fourth Proportional to 298.64, 447.92 and 82.20

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Solution

The fourth proportional to 298.64, 447.92 and 82.20 is: 123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 447.92 = 82.20 : x
  2. Step 2: Convert to fraction form
    298.64/447.92 = 82.20/x
  3. Step 3: Cross multiply
    298.64x = 447.92 × 82.20
  4. Step 4: Simplify right side
    298.64x = 36,819.02
  5. Step 5: Solve for x
    x = 36,819.02/298.64
  6. Step 6: Final answer
    x = 123.29

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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.