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Finding the Fourth Proportional to 238.62, 355.38 and 226.20

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Solution

The fourth proportional to 238.62, 355.38 and 226.20 is: 336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.62 : 355.38 = 226.20 : x
  2. Step 2: Convert to fraction form
    238.62/355.38 = 226.20/x
  3. Step 3: Cross multiply
    238.62x = 355.38 × 226.20
  4. Step 4: Simplify right side
    238.62x = 80,386.96
  5. Step 5: Solve for x
    x = 80,386.96/238.62
  6. Step 6: Final answer
    x = 336.88

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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.