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Finding the Fourth Proportional to 179.56, 248.04 and 138.28

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Solution

The fourth proportional to 179.56, 248.04 and 138.28 is: 191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.56 : 248.04 = 138.28 : x
  2. Step 2: Convert to fraction form
    179.56/248.04 = 138.28/x
  3. Step 3: Cross multiply
    179.56x = 248.04 × 138.28
  4. Step 4: Simplify right side
    179.56x = 34,298.97
  5. Step 5: Solve for x
    x = 34,298.97/179.56
  6. Step 6: Final answer
    x = 191.02

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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.