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Finding the Fourth Proportional to 179.13, 268.63 and 82.88

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Solution

The fourth proportional to 179.13, 268.63 and 82.88 is: 124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.13 : 268.63 = 82.88 : x
  2. Step 2: Convert to fraction form
    179.13/268.63 = 82.88/x
  3. Step 3: Cross multiply
    179.13x = 268.63 × 82.88
  4. Step 4: Simplify right side
    179.13x = 22,262.50
  5. Step 5: Solve for x
    x = 22,262.50/179.13
  6. Step 6: Final answer
    x = 124.28

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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.