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Finding the Fourth Proportional to 198.46, 297.74 and 137.62

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Solution

The fourth proportional to 198.46, 297.74 and 137.62 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 297.74 = 137.62 : x
  2. Step 2: Convert to fraction form
    198.46/297.74 = 137.62/x
  3. Step 3: Cross multiply
    198.46x = 297.74 × 137.62
  4. Step 4: Simplify right side
    198.46x = 40,974.98
  5. Step 5: Solve for x
    x = 40,974.98/198.46
  6. Step 6: Final answer
    x = 206.46

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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.