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Finding the Fourth Proportional to 238.20, 327.96 and 226.06

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Solution

The fourth proportional to 238.20, 327.96 and 226.06 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.20 : 327.96 = 226.06 : x
  2. Step 2: Convert to fraction form
    238.20/327.96 = 226.06/x
  3. Step 3: Cross multiply
    238.20x = 327.96 × 226.06
  4. Step 4: Simplify right side
    238.20x = 74,138.64
  5. Step 5: Solve for x
    x = 74,138.64/238.20
  6. Step 6: Final answer
    x = 311.25

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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.