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Finding the Fourth Proportional to 198.28, 297.80 and 169.44

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Solution

The fourth proportional to 198.28, 297.80 and 169.44 is: 254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 297.80 = 169.44 : x
  2. Step 2: Convert to fraction form
    198.28/297.80 = 169.44/x
  3. Step 3: Cross multiply
    198.28x = 297.80 × 169.44
  4. Step 4: Simplify right side
    198.28x = 50,459.23
  5. Step 5: Solve for x
    x = 50,459.23/198.28
  6. Step 6: Final answer
    x = 254.48

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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.