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Finding the Fourth Proportional to 239.25, 330.44 and 161.49

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Solution

The fourth proportional to 239.25, 330.44 and 161.49 is: 223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.25 : 330.44 = 161.49 : x
  2. Step 2: Convert to fraction form
    239.25/330.44 = 161.49/x
  3. Step 3: Cross multiply
    239.25x = 330.44 × 161.49
  4. Step 4: Simplify right side
    239.25x = 53,361.95
  5. Step 5: Solve for x
    x = 53,361.95/239.25
  6. Step 6: Final answer
    x = 223.04

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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.