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Finding the Fourth Proportional to 120.42, 179.69 and 112.28

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Solution

The fourth proportional to 120.42, 179.69 and 112.28 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 179.69 = 112.28 : x
  2. Step 2: Convert to fraction form
    120.42/179.69 = 112.28/x
  3. Step 3: Cross multiply
    120.42x = 179.69 × 112.28
  4. Step 4: Simplify right side
    120.42x = 20,174.13
  5. Step 5: Solve for x
    x = 20,174.13/120.42
  6. Step 6: Final answer
    x = 167.53

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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.