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Finding the Fourth Proportional to 198.19, 297.17 and 68.12

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Solution

The fourth proportional to 198.19, 297.17 and 68.12 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.19 : 297.17 = 68.12 : x
  2. Step 2: Convert to fraction form
    198.19/297.17 = 68.12/x
  3. Step 3: Cross multiply
    198.19x = 297.17 × 68.12
  4. Step 4: Simplify right side
    198.19x = 20,241.90
  5. Step 5: Solve for x
    x = 20,241.90/198.19
  6. Step 6: Final answer
    x = 102.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.