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Finding the Fourth Proportional to 179.32, 268.74 and 81.76

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Solution

The fourth proportional to 179.32, 268.74 and 81.76 is: 122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.32 : 268.74 = 81.76 : x
  2. Step 2: Convert to fraction form
    179.32/268.74 = 81.76/x
  3. Step 3: Cross multiply
    179.32x = 268.74 × 81.76
  4. Step 4: Simplify right side
    179.32x = 21,972.18
  5. Step 5: Solve for x
    x = 21,972.18/179.32
  6. Step 6: Final answer
    x = 122.53

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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.