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Finding the Fourth Proportional to 195.44, 269.27 and 142.89

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Solution

The fourth proportional to 195.44, 269.27 and 142.89 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 269.27 = 142.89 : x
  2. Step 2: Convert to fraction form
    195.44/269.27 = 142.89/x
  3. Step 3: Cross multiply
    195.44x = 269.27 × 142.89
  4. Step 4: Simplify right side
    195.44x = 38,475.28
  5. Step 5: Solve for x
    x = 38,475.28/195.44
  6. Step 6: Final answer
    x = 196.87

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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.