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Finding the Fourth Proportional to 238.12, 329.01 and 189.43

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Solution

The fourth proportional to 238.12, 329.01 and 189.43 is: 261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 329.01 = 189.43 : x
  2. Step 2: Convert to fraction form
    238.12/329.01 = 189.43/x
  3. Step 3: Cross multiply
    238.12x = 329.01 × 189.43
  4. Step 4: Simplify right side
    238.12x = 62,324.36
  5. Step 5: Solve for x
    x = 62,324.36/238.12
  6. Step 6: Final answer
    x = 261.74

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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.