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Finding the Fourth Proportional to 140.21, 209.17 and 130.39

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Solution

The fourth proportional to 140.21, 209.17 and 130.39 is: 194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.21 : 209.17 = 130.39 : x
  2. Step 2: Convert to fraction form
    140.21/209.17 = 130.39/x
  3. Step 3: Cross multiply
    140.21x = 209.17 × 130.39
  4. Step 4: Simplify right side
    140.21x = 27,273.02
  5. Step 5: Solve for x
    x = 27,273.02/140.21
  6. Step 6: Final answer
    x = 194.52

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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.