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Finding the Fourth Proportional to 198.46, 297.64 and 76.74

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Solution

The fourth proportional to 198.46, 297.64 and 76.74 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 297.64 = 76.74 : x
  2. Step 2: Convert to fraction form
    198.46/297.64 = 76.74/x
  3. Step 3: Cross multiply
    198.46x = 297.64 × 76.74
  4. Step 4: Simplify right side
    198.46x = 22,840.89
  5. Step 5: Solve for x
    x = 22,840.89/198.46
  6. Step 6: Final answer
    x = 115.09

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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.