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Finding the Fourth Proportional to 238.62, 356.22 and 221.70

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Solution

The fourth proportional to 238.62, 356.22 and 221.70 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.62 : 356.22 = 221.70 : x
  2. Step 2: Convert to fraction form
    238.62/356.22 = 221.70/x
  3. Step 3: Cross multiply
    238.62x = 356.22 × 221.70
  4. Step 4: Simplify right side
    238.62x = 78,973.97
  5. Step 5: Solve for x
    x = 78,973.97/238.62
  6. Step 6: Final answer
    x = 330.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.