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Finding the Fourth Proportional to 396.73, 596.31 and 388.23

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Solution

The fourth proportional to 396.73, 596.31 and 388.23 is: 583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.73 : 596.31 = 388.23 : x
  2. Step 2: Convert to fraction form
    396.73/596.31 = 388.23/x
  3. Step 3: Cross multiply
    396.73x = 596.31 × 388.23
  4. Step 4: Simplify right side
    396.73x = 231,505.43
  5. Step 5: Solve for x
    x = 231,505.43/396.73
  6. Step 6: Final answer
    x = 583.53

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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.