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Finding the Fourth Proportional to 394.52, 591.89 and 345.31

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Solution

The fourth proportional to 394.52, 591.89 and 345.31 is: 518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.52 : 591.89 = 345.31 : x
  2. Step 2: Convert to fraction form
    394.52/591.89 = 345.31/x
  3. Step 3: Cross multiply
    394.52x = 591.89 × 345.31
  4. Step 4: Simplify right side
    394.52x = 204,382.33
  5. Step 5: Solve for x
    x = 204,382.33/394.52
  6. Step 6: Final answer
    x = 518.06

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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.