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Finding the Fourth Proportional to 120.12, 178.86 and 119.76

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Solution

The fourth proportional to 120.12, 178.86 and 119.76 is: 178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 178.86 = 119.76 : x
  2. Step 2: Convert to fraction form
    120.12/178.86 = 119.76/x
  3. Step 3: Cross multiply
    120.12x = 178.86 × 119.76
  4. Step 4: Simplify right side
    120.12x = 21,420.27
  5. Step 5: Solve for x
    x = 21,420.27/120.12
  6. Step 6: Final answer
    x = 178.32

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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.