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Finding the Fourth Proportional to 238.91, 329.54 and 165.20

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Solution

The fourth proportional to 238.91, 329.54 and 165.20 is: 227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.91 : 329.54 = 165.20 : x
  2. Step 2: Convert to fraction form
    238.91/329.54 = 165.20/x
  3. Step 3: Cross multiply
    238.91x = 329.54 × 165.20
  4. Step 4: Simplify right side
    238.91x = 54,437.53
  5. Step 5: Solve for x
    x = 54,437.53/238.91
  6. Step 6: Final answer
    x = 227.86

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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.