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Finding the Fourth Proportional to 140.32, 209.48 and 122.12

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Solution

The fourth proportional to 140.32, 209.48 and 122.12 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.32 : 209.48 = 122.12 : x
  2. Step 2: Convert to fraction form
    140.32/209.48 = 122.12/x
  3. Step 3: Cross multiply
    140.32x = 209.48 × 122.12
  4. Step 4: Simplify right side
    140.32x = 25,581.70
  5. Step 5: Solve for x
    x = 25,581.70/140.32
  6. Step 6: Final answer
    x = 182.31

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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.