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Finding the Fourth Proportional to 178.76, 268.06 and 76.12

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Solution

The fourth proportional to 178.76, 268.06 and 76.12 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.76 : 268.06 = 76.12 : x
  2. Step 2: Convert to fraction form
    178.76/268.06 = 76.12/x
  3. Step 3: Cross multiply
    178.76x = 268.06 × 76.12
  4. Step 4: Simplify right side
    178.76x = 20,404.73
  5. Step 5: Solve for x
    x = 20,404.73/178.76
  6. Step 6: Final answer
    x = 114.15

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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.