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Finding the Fourth Proportional to 243.23, 363.49 and 196.43

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Solution

The fourth proportional to 243.23, 363.49 and 196.43 is: 293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.23 : 363.49 = 196.43 : x
  2. Step 2: Convert to fraction form
    243.23/363.49 = 196.43/x
  3. Step 3: Cross multiply
    243.23x = 363.49 × 196.43
  4. Step 4: Simplify right side
    243.23x = 71,398.03
  5. Step 5: Solve for x
    x = 71,398.03/243.23
  6. Step 6: Final answer
    x = 293.55

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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.