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Finding the Fourth Proportional to 179.47, 268.70 and 92.61

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Solution

The fourth proportional to 179.47, 268.70 and 92.61 is: 138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.47 : 268.70 = 92.61 : x
  2. Step 2: Convert to fraction form
    179.47/268.70 = 92.61/x
  3. Step 3: Cross multiply
    179.47x = 268.70 × 92.61
  4. Step 4: Simplify right side
    179.47x = 24,885.55
  5. Step 5: Solve for x
    x = 24,885.55/179.47
  6. Step 6: Final answer
    x = 138.66

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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.