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Finding the Fourth Proportional to 140.47, 209.96 and 122.04

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Solution

The fourth proportional to 140.47, 209.96 and 122.04 is: 182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.47 : 209.96 = 122.04 : x
  2. Step 2: Convert to fraction form
    140.47/209.96 = 122.04/x
  3. Step 3: Cross multiply
    140.47x = 209.96 × 122.04
  4. Step 4: Simplify right side
    140.47x = 25,623.37
  5. Step 5: Solve for x
    x = 25,623.37/140.47
  6. Step 6: Final answer
    x = 182.41

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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.