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Finding the Fourth Proportional to 140.09, 209.97 and 119.84

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Solution

The fourth proportional to 140.09, 209.97 and 119.84 is: 179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 209.97 = 119.84 : x
  2. Step 2: Convert to fraction form
    140.09/209.97 = 119.84/x
  3. Step 3: Cross multiply
    140.09x = 209.97 × 119.84
  4. Step 4: Simplify right side
    140.09x = 25,161.75
  5. Step 5: Solve for x
    x = 25,161.75/140.09
  6. Step 6: Final answer
    x = 179.62

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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.