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Finding the Fourth Proportional to 120.39, 179.94 and 108.78

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Solution

The fourth proportional to 120.39, 179.94 and 108.78 is: 162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.39 : 179.94 = 108.78 : x
  2. Step 2: Convert to fraction form
    120.39/179.94 = 108.78/x
  3. Step 3: Cross multiply
    120.39x = 179.94 × 108.78
  4. Step 4: Simplify right side
    120.39x = 19,573.87
  5. Step 5: Solve for x
    x = 19,573.87/120.39
  6. Step 6: Final answer
    x = 162.59

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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.