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Finding the Fourth Proportional to 396.43, 590.46 and 378.66

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Solution

The fourth proportional to 396.43, 590.46 and 378.66 is: 563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.43 : 590.46 = 378.66 : x
  2. Step 2: Convert to fraction form
    396.43/590.46 = 378.66/x
  3. Step 3: Cross multiply
    396.43x = 590.46 × 378.66
  4. Step 4: Simplify right side
    396.43x = 223,583.58
  5. Step 5: Solve for x
    x = 223,583.58/396.43
  6. Step 6: Final answer
    x = 563.99

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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.