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Finding the Fourth Proportional to 396.78, 592.09 and 348.78

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Solution

The fourth proportional to 396.78, 592.09 and 348.78 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.78 : 592.09 = 348.78 : x
  2. Step 2: Convert to fraction form
    396.78/592.09 = 348.78/x
  3. Step 3: Cross multiply
    396.78x = 592.09 × 348.78
  4. Step 4: Simplify right side
    396.78x = 206,509.15
  5. Step 5: Solve for x
    x = 206,509.15/396.78
  6. Step 6: Final answer
    x = 520.46

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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.