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Finding the Fourth Proportional to 240.74, 331.88 and 161.92

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Solution

The fourth proportional to 240.74, 331.88 and 161.92 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.74 : 331.88 = 161.92 : x
  2. Step 2: Convert to fraction form
    240.74/331.88 = 161.92/x
  3. Step 3: Cross multiply
    240.74x = 331.88 × 161.92
  4. Step 4: Simplify right side
    240.74x = 53,736.57
  5. Step 5: Solve for x
    x = 53,736.57/240.74
  6. Step 6: Final answer
    x = 223.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.