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Finding the Fourth Proportional to 238.19, 329.09 and 189.45

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Solution

The fourth proportional to 238.19, 329.09 and 189.45 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.19 : 329.09 = 189.45 : x
  2. Step 2: Convert to fraction form
    238.19/329.09 = 189.45/x
  3. Step 3: Cross multiply
    238.19x = 329.09 × 189.45
  4. Step 4: Simplify right side
    238.19x = 62,345.15
  5. Step 5: Solve for x
    x = 62,345.15/238.19
  6. Step 6: Final answer
    x = 261.75

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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.