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Finding the Fourth Proportional to 179.25, 268.39 and 102.11

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Solution

The fourth proportional to 179.25, 268.39 and 102.11 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.25 : 268.39 = 102.11 : x
  2. Step 2: Convert to fraction form
    179.25/268.39 = 102.11/x
  3. Step 3: Cross multiply
    179.25x = 268.39 × 102.11
  4. Step 4: Simplify right side
    179.25x = 27,403.80
  5. Step 5: Solve for x
    x = 27,403.80/179.25
  6. Step 6: Final answer
    x = 152.88

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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.