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Finding the Fourth Proportional to 198.70, 298.15 and 107.42

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Solution

The fourth proportional to 198.70, 298.15 and 107.42 is: 161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 298.15 = 107.42 : x
  2. Step 2: Convert to fraction form
    198.70/298.15 = 107.42/x
  3. Step 3: Cross multiply
    198.70x = 298.15 × 107.42
  4. Step 4: Simplify right side
    198.70x = 32,028.29
  5. Step 5: Solve for x
    x = 32,028.29/198.70
  6. Step 6: Final answer
    x = 161.19

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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.