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Finding the Fourth Proportional to 198.20, 297.31 and 76.45

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Solution

The fourth proportional to 198.20, 297.31 and 76.45 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 297.31 = 76.45 : x
  2. Step 2: Convert to fraction form
    198.20/297.31 = 76.45/x
  3. Step 3: Cross multiply
    198.20x = 297.31 × 76.45
  4. Step 4: Simplify right side
    198.20x = 22,729.35
  5. Step 5: Solve for x
    x = 22,729.35/198.20
  6. Step 6: Final answer
    x = 114.68

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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.