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Finding the Fourth Proportional to 396.88, 592.56 and 350.71

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Solution

The fourth proportional to 396.88, 592.56 and 350.71 is: 523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.88 : 592.56 = 350.71 : x
  2. Step 2: Convert to fraction form
    396.88/592.56 = 350.71/x
  3. Step 3: Cross multiply
    396.88x = 592.56 × 350.71
  4. Step 4: Simplify right side
    396.88x = 207,816.72
  5. Step 5: Solve for x
    x = 207,816.72/396.88
  6. Step 6: Final answer
    x = 523.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.