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Finding the Fourth Proportional to 394.31, 543.98 and 238.79

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Solution

The fourth proportional to 394.31, 543.98 and 238.79 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.31 : 543.98 = 238.79 : x
  2. Step 2: Convert to fraction form
    394.31/543.98 = 238.79/x
  3. Step 3: Cross multiply
    394.31x = 543.98 × 238.79
  4. Step 4: Simplify right side
    394.31x = 129,893.07
  5. Step 5: Solve for x
    x = 129,893.07/394.31
  6. Step 6: Final answer
    x = 329.42

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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.