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Finding the Fourth Proportional to 238.20, 329.04 and 189.69

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Solution

The fourth proportional to 238.20, 329.04 and 189.69 is: 262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.20 : 329.04 = 189.69 : x
  2. Step 2: Convert to fraction form
    238.20/329.04 = 189.69/x
  3. Step 3: Cross multiply
    238.20x = 329.04 × 189.69
  4. Step 4: Simplify right side
    238.20x = 62,415.60
  5. Step 5: Solve for x
    x = 62,415.60/238.20
  6. Step 6: Final answer
    x = 262.03

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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.