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Finding the Fourth Proportional to 120.56, 179.28 and 120.15

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Solution

The fourth proportional to 120.56, 179.28 and 120.15 is: 178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 179.28 = 120.15 : x
  2. Step 2: Convert to fraction form
    120.56/179.28 = 120.15/x
  3. Step 3: Cross multiply
    120.56x = 179.28 × 120.15
  4. Step 4: Simplify right side
    120.56x = 21,540.49
  5. Step 5: Solve for x
    x = 21,540.49/120.56
  6. Step 6: Final answer
    x = 178.68

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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.