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Finding the Fourth Proportional to 198.44, 297.41 and 95.49

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Solution

The fourth proportional to 198.44, 297.41 and 95.49 is: 143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.44 : 297.41 = 95.49 : x
  2. Step 2: Convert to fraction form
    198.44/297.41 = 95.49/x
  3. Step 3: Cross multiply
    198.44x = 297.41 × 95.49
  4. Step 4: Simplify right side
    198.44x = 28,399.20
  5. Step 5: Solve for x
    x = 28,399.20/198.44
  6. Step 6: Final answer
    x = 143.12

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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.