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Finding the Fourth Proportional to 198.75, 298.12 and 54.47

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Solution

The fourth proportional to 198.75, 298.12 and 54.47 is: 81.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 298.12 = 54.47 : x
  2. Step 2: Convert to fraction form
    198.75/298.12 = 54.47/x
  3. Step 3: Cross multiply
    198.75x = 298.12 × 54.47
  4. Step 4: Simplify right side
    198.75x = 16,236.97
  5. Step 5: Solve for x
    x = 16,236.97/198.75
  6. Step 6: Final answer
    x = 81.70

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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.