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Finding the Fourth Proportional to 140.27, 209.21 and 119.75

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Solution

The fourth proportional to 140.27, 209.21 and 119.75 is: 178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.27 : 209.21 = 119.75 : x
  2. Step 2: Convert to fraction form
    140.27/209.21 = 119.75/x
  3. Step 3: Cross multiply
    140.27x = 209.21 × 119.75
  4. Step 4: Simplify right side
    140.27x = 25,051.25
  5. Step 5: Solve for x
    x = 25,051.25/140.27
  6. Step 6: Final answer
    x = 178.60

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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.