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Finding the Fourth Proportional to 119.20, 164.42 and 79.78

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Solution

The fourth proportional to 119.20, 164.42 and 79.78 is: 110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.20 : 164.42 = 79.78 : x
  2. Step 2: Convert to fraction form
    119.20/164.42 = 79.78/x
  3. Step 3: Cross multiply
    119.20x = 164.42 × 79.78
  4. Step 4: Simplify right side
    119.20x = 13,116.92
  5. Step 5: Solve for x
    x = 13,116.92/119.20
  6. Step 6: Final answer
    x = 110.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.