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Finding the Fourth Proportional to 198.61, 297.49 and 95.74

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Solution

The fourth proportional to 198.61, 297.49 and 95.74 is: 143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.61 : 297.49 = 95.74 : x
  2. Step 2: Convert to fraction form
    198.61/297.49 = 95.74/x
  3. Step 3: Cross multiply
    198.61x = 297.49 × 95.74
  4. Step 4: Simplify right side
    198.61x = 28,481.69
  5. Step 5: Solve for x
    x = 28,481.69/198.61
  6. Step 6: Final answer
    x = 143.41

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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.