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Finding the Fourth Proportional to 198.48, 297.84 and 76.80

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Solution

The fourth proportional to 198.48, 297.84 and 76.80 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 297.84 = 76.80 : x
  2. Step 2: Convert to fraction form
    198.48/297.84 = 76.80/x
  3. Step 3: Cross multiply
    198.48x = 297.84 × 76.80
  4. Step 4: Simplify right side
    198.48x = 22,874.11
  5. Step 5: Solve for x
    x = 22,874.11/198.48
  6. Step 6: Final answer
    x = 115.25

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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.