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Finding the Fourth Proportional to 120.05, 179.72 and 108.44

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Solution

The fourth proportional to 120.05, 179.72 and 108.44 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.05 : 179.72 = 108.44 : x
  2. Step 2: Convert to fraction form
    120.05/179.72 = 108.44/x
  3. Step 3: Cross multiply
    120.05x = 179.72 × 108.44
  4. Step 4: Simplify right side
    120.05x = 19,487.40
  5. Step 5: Solve for x
    x = 19,487.40/120.05
  6. Step 6: Final answer
    x = 162.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.