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Finding the Fourth Proportional to 238.44, 329.12 and 160.80

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Solution

The fourth proportional to 238.44, 329.12 and 160.80 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.44 : 329.12 = 160.80 : x
  2. Step 2: Convert to fraction form
    238.44/329.12 = 160.80/x
  3. Step 3: Cross multiply
    238.44x = 329.12 × 160.80
  4. Step 4: Simplify right side
    238.44x = 52,922.50
  5. Step 5: Solve for x
    x = 52,922.50/238.44
  6. Step 6: Final answer
    x = 221.95

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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.