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Finding the Fourth Proportional to 238.54, 327.01 and 234.76

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Solution

The fourth proportional to 238.54, 327.01 and 234.76 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.54 : 327.01 = 234.76 : x
  2. Step 2: Convert to fraction form
    238.54/327.01 = 234.76/x
  3. Step 3: Cross multiply
    238.54x = 327.01 × 234.76
  4. Step 4: Simplify right side
    238.54x = 76,768.87
  5. Step 5: Solve for x
    x = 76,768.87/238.54
  6. Step 6: Final answer
    x = 321.83

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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.