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Finding the Fourth Proportional to 195.67, 269.97 and 112.78

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Solution

The fourth proportional to 195.67, 269.97 and 112.78 is: 155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.67 : 269.97 = 112.78 : x
  2. Step 2: Convert to fraction form
    195.67/269.97 = 112.78/x
  3. Step 3: Cross multiply
    195.67x = 269.97 × 112.78
  4. Step 4: Simplify right side
    195.67x = 30,447.22
  5. Step 5: Solve for x
    x = 30,447.22/195.67
  6. Step 6: Final answer
    x = 155.60

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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.