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Finding the Fourth Proportional to 142.86, 198.46 and 141.12

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Solution

The fourth proportional to 142.86, 198.46 and 141.12 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.86 : 198.46 = 141.12 : x
  2. Step 2: Convert to fraction form
    142.86/198.46 = 141.12/x
  3. Step 3: Cross multiply
    142.86x = 198.46 × 141.12
  4. Step 4: Simplify right side
    142.86x = 28,006.68
  5. Step 5: Solve for x
    x = 28,006.68/142.86
  6. Step 6: Final answer
    x = 196.04

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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.