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Finding the Fourth Proportional to 243.12, 363.97 and 140.09

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Solution

The fourth proportional to 243.12, 363.97 and 140.09 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.12 : 363.97 = 140.09 : x
  2. Step 2: Convert to fraction form
    243.12/363.97 = 140.09/x
  3. Step 3: Cross multiply
    243.12x = 363.97 × 140.09
  4. Step 4: Simplify right side
    243.12x = 50,987.86
  5. Step 5: Solve for x
    x = 50,987.86/243.12
  6. Step 6: Final answer
    x = 209.72

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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.