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Finding the Fourth Proportional to 195, 269.34 and 158.43

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Solution

The fourth proportional to 195, 269.34 and 158.43 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 269.34 = 158.43 : x
  2. Step 2: Convert to fraction form
    195/269.34 = 158.43/x
  3. Step 3: Cross multiply
    195x = 269.34 × 158.43
  4. Step 4: Simplify right side
    195x = 42,671.54
  5. Step 5: Solve for x
    x = 42,671.54/195
  6. Step 6: Final answer
    x = 218.83

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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.