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Finding the Fourth Proportional to 238.28, 328.82 and 168.27

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Solution

The fourth proportional to 238.28, 328.82 and 168.27 is: 232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.28 : 328.82 = 168.27 : x
  2. Step 2: Convert to fraction form
    238.28/328.82 = 168.27/x
  3. Step 3: Cross multiply
    238.28x = 328.82 × 168.27
  4. Step 4: Simplify right side
    238.28x = 55,330.54
  5. Step 5: Solve for x
    x = 55,330.54/238.28
  6. Step 6: Final answer
    x = 232.21

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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.