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Finding the Fourth Proportional to 247.67, 371.24 and 161.07

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Solution

The fourth proportional to 247.67, 371.24 and 161.07 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.67 : 371.24 = 161.07 : x
  2. Step 2: Convert to fraction form
    247.67/371.24 = 161.07/x
  3. Step 3: Cross multiply
    247.67x = 371.24 × 161.07
  4. Step 4: Simplify right side
    247.67x = 59,794.67
  5. Step 5: Solve for x
    x = 59,794.67/247.67
  6. Step 6: Final answer
    x = 241.43

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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.