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Finding the Fourth Proportional to 120.62, 179.48 and 120.22

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Solution

The fourth proportional to 120.62, 179.48 and 120.22 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.62 : 179.48 = 120.22 : x
  2. Step 2: Convert to fraction form
    120.62/179.48 = 120.22/x
  3. Step 3: Cross multiply
    120.62x = 179.48 × 120.22
  4. Step 4: Simplify right side
    120.62x = 21,576.94
  5. Step 5: Solve for x
    x = 21,576.94/120.62
  6. Step 6: Final answer
    x = 178.88

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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.