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Finding the Fourth Proportional to 238.82, 327.18 and 230.05

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Solution

The fourth proportional to 238.82, 327.18 and 230.05 is: 315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.82 : 327.18 = 230.05 : x
  2. Step 2: Convert to fraction form
    238.82/327.18 = 230.05/x
  3. Step 3: Cross multiply
    238.82x = 327.18 × 230.05
  4. Step 4: Simplify right side
    238.82x = 75,264.97
  5. Step 5: Solve for x
    x = 75,264.97/238.82
  6. Step 6: Final answer
    x = 315.15

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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.