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Finding the Fourth Proportional to 243.42, 363.26 and 217.47

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Solution

The fourth proportional to 243.42, 363.26 and 217.47 is: 324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 363.26 = 217.47 : x
  2. Step 2: Convert to fraction form
    243.42/363.26 = 217.47/x
  3. Step 3: Cross multiply
    243.42x = 363.26 × 217.47
  4. Step 4: Simplify right side
    243.42x = 78,996.16
  5. Step 5: Solve for x
    x = 78,996.16/243.42
  6. Step 6: Final answer
    x = 324.53

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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.