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Finding the Fourth Proportional to 195.35, 269.47 and 128.83

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Solution

The fourth proportional to 195.35, 269.47 and 128.83 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.35 : 269.47 = 128.83 : x
  2. Step 2: Convert to fraction form
    195.35/269.47 = 128.83/x
  3. Step 3: Cross multiply
    195.35x = 269.47 × 128.83
  4. Step 4: Simplify right side
    195.35x = 34,715.75
  5. Step 5: Solve for x
    x = 34,715.75/195.35
  6. Step 6: Final answer
    x = 177.71

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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.