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Finding the Fourth Proportional to 179.80, 248.28 and 138.76

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Solution

The fourth proportional to 179.80, 248.28 and 138.76 is: 191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.80 : 248.28 = 138.76 : x
  2. Step 2: Convert to fraction form
    179.80/248.28 = 138.76/x
  3. Step 3: Cross multiply
    179.80x = 248.28 × 138.76
  4. Step 4: Simplify right side
    179.80x = 34,451.33
  5. Step 5: Solve for x
    x = 34,451.33/179.80
  6. Step 6: Final answer
    x = 191.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.