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Finding the Fourth Proportional to 195.14, 269.28 and 107.80

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Solution

The fourth proportional to 195.14, 269.28 and 107.80 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 269.28 = 107.80 : x
  2. Step 2: Convert to fraction form
    195.14/269.28 = 107.80/x
  3. Step 3: Cross multiply
    195.14x = 269.28 × 107.80
  4. Step 4: Simplify right side
    195.14x = 29,028.38
  5. Step 5: Solve for x
    x = 29,028.38/195.14
  6. Step 6: Final answer
    x = 148.76

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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.