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Finding the Fourth Proportional to 120.32, 179.60 and 111.84

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Solution

The fourth proportional to 120.32, 179.60 and 111.84 is: 166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 179.60 = 111.84 : x
  2. Step 2: Convert to fraction form
    120.32/179.60 = 111.84/x
  3. Step 3: Cross multiply
    120.32x = 179.60 × 111.84
  4. Step 4: Simplify right side
    120.32x = 20,086.46
  5. Step 5: Solve for x
    x = 20,086.46/120.32
  6. Step 6: Final answer
    x = 166.94

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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.