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Finding the Fourth Proportional to 120.96, 179.28 and 120.42

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Solution

The fourth proportional to 120.96, 179.28 and 120.42 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 179.28 = 120.42 : x
  2. Step 2: Convert to fraction form
    120.96/179.28 = 120.42/x
  3. Step 3: Cross multiply
    120.96x = 179.28 × 120.42
  4. Step 4: Simplify right side
    120.96x = 21,588.90
  5. Step 5: Solve for x
    x = 21,588.90/120.96
  6. Step 6: Final answer
    x = 178.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.