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Finding the Fourth Proportional to 142.92, 198.06 and 140.19

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Solution

The fourth proportional to 142.92, 198.06 and 140.19 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.92 : 198.06 = 140.19 : x
  2. Step 2: Convert to fraction form
    142.92/198.06 = 140.19/x
  3. Step 3: Cross multiply
    142.92x = 198.06 × 140.19
  4. Step 4: Simplify right side
    142.92x = 27,766.03
  5. Step 5: Solve for x
    x = 27,766.03/142.92
  6. Step 6: Final answer
    x = 194.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.