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Finding the Fourth Proportional to 247.47, 339.42 and 218.31

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Solution

The fourth proportional to 247.47, 339.42 and 218.31 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.47 : 339.42 = 218.31 : x
  2. Step 2: Convert to fraction form
    247.47/339.42 = 218.31/x
  3. Step 3: Cross multiply
    247.47x = 339.42 × 218.31
  4. Step 4: Simplify right side
    247.47x = 74,098.78
  5. Step 5: Solve for x
    x = 74,098.78/247.47
  6. Step 6: Final answer
    x = 299.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.