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Finding the Fourth Proportional to 120.22, 179.19 and 119.27

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Solution

The fourth proportional to 120.22, 179.19 and 119.27 is: 177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 179.19 = 119.27 : x
  2. Step 2: Convert to fraction form
    120.22/179.19 = 119.27/x
  3. Step 3: Cross multiply
    120.22x = 179.19 × 119.27
  4. Step 4: Simplify right side
    120.22x = 21,372.44
  5. Step 5: Solve for x
    x = 21,372.44/120.22
  6. Step 6: Final answer
    x = 177.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.