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Finding the Fourth Proportional to 179.44, 247.71 and 117.27

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Solution

The fourth proportional to 179.44, 247.71 and 117.27 is: 161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.44 : 247.71 = 117.27 : x
  2. Step 2: Convert to fraction form
    179.44/247.71 = 117.27/x
  3. Step 3: Cross multiply
    179.44x = 247.71 × 117.27
  4. Step 4: Simplify right side
    179.44x = 29,049.57
  5. Step 5: Solve for x
    x = 29,049.57/179.44
  6. Step 6: Final answer
    x = 161.89

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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.