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Finding the Fourth Proportional to 120.60, 179.74 and 116.44

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Solution

The fourth proportional to 120.60, 179.74 and 116.44 is: 173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.60 : 179.74 = 116.44 : x
  2. Step 2: Convert to fraction form
    120.60/179.74 = 116.44/x
  3. Step 3: Cross multiply
    120.60x = 179.74 × 116.44
  4. Step 4: Simplify right side
    120.60x = 20,928.93
  5. Step 5: Solve for x
    x = 20,928.93/120.60
  6. Step 6: Final answer
    x = 173.54

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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.