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Finding the Fourth Proportional to 236.96, 327.02 and 138.71

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Solution

The fourth proportional to 236.96, 327.02 and 138.71 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.96 : 327.02 = 138.71 : x
  2. Step 2: Convert to fraction form
    236.96/327.02 = 138.71/x
  3. Step 3: Cross multiply
    236.96x = 327.02 × 138.71
  4. Step 4: Simplify right side
    236.96x = 45,359.66
  5. Step 5: Solve for x
    x = 45,359.66/236.96
  6. Step 6: Final answer
    x = 191.43

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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.