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Finding the Fourth Proportional to 178.62, 268.05 and 75.95

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Solution

The fourth proportional to 178.62, 268.05 and 75.95 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 268.05 = 75.95 : x
  2. Step 2: Convert to fraction form
    178.62/268.05 = 75.95/x
  3. Step 3: Cross multiply
    178.62x = 268.05 × 75.95
  4. Step 4: Simplify right side
    178.62x = 20,357.06
  5. Step 5: Solve for x
    x = 20,357.06/178.62
  6. Step 6: Final answer
    x = 113.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.