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Finding the Fourth Proportional to 238.80, 327.39 and 237

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Solution

The fourth proportional to 238.80, 327.39 and 237 is: 324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.80 : 327.39 = 237 : x
  2. Step 2: Convert to fraction form
    238.80/327.39 = 237/x
  3. Step 3: Cross multiply
    238.80x = 327.39 × 237
  4. Step 4: Simplify right side
    238.80x = 77,591.43
  5. Step 5: Solve for x
    x = 77,591.43/238.80
  6. Step 6: Final answer
    x = 324.92

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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.