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Finding the Fourth Proportional to 238.56, 329.20 and 160.96

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Solution

The fourth proportional to 238.56, 329.20 and 160.96 is: 222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.56 : 329.20 = 160.96 : x
  2. Step 2: Convert to fraction form
    238.56/329.20 = 160.96/x
  3. Step 3: Cross multiply
    238.56x = 329.20 × 160.96
  4. Step 4: Simplify right side
    238.56x = 52,988.03
  5. Step 5: Solve for x
    x = 52,988.03/238.56
  6. Step 6: Final answer
    x = 222.12

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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.