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Finding the Fourth Proportional to 198.89, 297.95 and 137.18

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Solution

The fourth proportional to 198.89, 297.95 and 137.18 is: 205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.89 : 297.95 = 137.18 : x
  2. Step 2: Convert to fraction form
    198.89/297.95 = 137.18/x
  3. Step 3: Cross multiply
    198.89x = 297.95 × 137.18
  4. Step 4: Simplify right side
    198.89x = 40,873.87
  5. Step 5: Solve for x
    x = 40,873.87/198.89
  6. Step 6: Final answer
    x = 205.51

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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.