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Finding the Fourth Proportional to 394.87, 591.88 and 349.33

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Solution

The fourth proportional to 394.87, 591.88 and 349.33 is: 523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.87 : 591.88 = 349.33 : x
  2. Step 2: Convert to fraction form
    394.87/591.88 = 349.33/x
  3. Step 3: Cross multiply
    394.87x = 591.88 × 349.33
  4. Step 4: Simplify right side
    394.87x = 206,759.69
  5. Step 5: Solve for x
    x = 206,759.69/394.87
  6. Step 6: Final answer
    x = 523.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.