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Finding the Fourth Proportional to 238.68, 327.24 and 227.34

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Solution

The fourth proportional to 238.68, 327.24 and 227.34 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.68 : 327.24 = 227.34 : x
  2. Step 2: Convert to fraction form
    238.68/327.24 = 227.34/x
  3. Step 3: Cross multiply
    238.68x = 327.24 × 227.34
  4. Step 4: Simplify right side
    238.68x = 74,394.74
  5. Step 5: Solve for x
    x = 74,394.74/238.68
  6. Step 6: Final answer
    x = 311.69

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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.