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Finding the Fourth Proportional to 238.14, 326.44 and 226.38

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Solution

The fourth proportional to 238.14, 326.44 and 226.38 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 326.44 = 226.38 : x
  2. Step 2: Convert to fraction form
    238.14/326.44 = 226.38/x
  3. Step 3: Cross multiply
    238.14x = 326.44 × 226.38
  4. Step 4: Simplify right side
    238.14x = 73,899.49
  5. Step 5: Solve for x
    x = 73,899.49/238.14
  6. Step 6: Final answer
    x = 310.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.