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Finding the Fourth Proportional to 198.44, 297.12 and 137.72

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Solution

The fourth proportional to 198.44, 297.12 and 137.72 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.44 : 297.12 = 137.72 : x
  2. Step 2: Convert to fraction form
    198.44/297.12 = 137.72/x
  3. Step 3: Cross multiply
    198.44x = 297.12 × 137.72
  4. Step 4: Simplify right side
    198.44x = 40,919.37
  5. Step 5: Solve for x
    x = 40,919.37/198.44
  6. Step 6: Final answer
    x = 206.21

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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.