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Finding the Fourth Proportional to 243.72, 363.09 and 243.24

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Solution

The fourth proportional to 243.72, 363.09 and 243.24 is: 362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.72 : 363.09 = 243.24 : x
  2. Step 2: Convert to fraction form
    243.72/363.09 = 243.24/x
  3. Step 3: Cross multiply
    243.72x = 363.09 × 243.24
  4. Step 4: Simplify right side
    243.72x = 88,318.01
  5. Step 5: Solve for x
    x = 88,318.01/243.72
  6. Step 6: Final answer
    x = 362.37

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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.