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Finding the Fourth Proportional to 198.62, 297.72 and 76.88

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Solution

The fourth proportional to 198.62, 297.72 and 76.88 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.62 : 297.72 = 76.88 : x
  2. Step 2: Convert to fraction form
    198.62/297.72 = 76.88/x
  3. Step 3: Cross multiply
    198.62x = 297.72 × 76.88
  4. Step 4: Simplify right side
    198.62x = 22,888.71
  5. Step 5: Solve for x
    x = 22,888.71/198.62
  6. Step 6: Final answer
    x = 115.24

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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.