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Finding the Fourth Proportional to 394.39, 591.38 and 231.99

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Solution

The fourth proportional to 394.39, 591.38 and 231.99 is: 347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.39 : 591.38 = 231.99 : x
  2. Step 2: Convert to fraction form
    394.39/591.38 = 231.99/x
  3. Step 3: Cross multiply
    394.39x = 591.38 × 231.99
  4. Step 4: Simplify right side
    394.39x = 137,194.25
  5. Step 5: Solve for x
    x = 137,194.25/394.39
  6. Step 6: Final answer
    x = 347.86

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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.