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Finding the Fourth Proportional to 142.14, 195.86 and 129.89

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Solution

The fourth proportional to 142.14, 195.86 and 129.89 is: 178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 195.86 = 129.89 : x
  2. Step 2: Convert to fraction form
    142.14/195.86 = 129.89/x
  3. Step 3: Cross multiply
    142.14x = 195.86 × 129.89
  4. Step 4: Simplify right side
    142.14x = 25,438.63
  5. Step 5: Solve for x
    x = 25,438.63/142.14
  6. Step 6: Final answer
    x = 178.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.