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Finding the Fourth Proportional to 238.88, 330.72 and 226.88

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Solution

The fourth proportional to 238.88, 330.72 and 226.88 is: 314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 330.72 = 226.88 : x
  2. Step 2: Convert to fraction form
    238.88/330.72 = 226.88/x
  3. Step 3: Cross multiply
    238.88x = 330.72 × 226.88
  4. Step 4: Simplify right side
    238.88x = 75,033.75
  5. Step 5: Solve for x
    x = 75,033.75/238.88
  6. Step 6: Final answer
    x = 314.11

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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.