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Finding the Fourth Proportional to 396.20, 596.60 and 294.21

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Solution

The fourth proportional to 396.20, 596.60 and 294.21 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.20 : 596.60 = 294.21 : x
  2. Step 2: Convert to fraction form
    396.20/596.60 = 294.21/x
  3. Step 3: Cross multiply
    396.20x = 596.60 × 294.21
  4. Step 4: Simplify right side
    396.20x = 175,524.21
  5. Step 5: Solve for x
    x = 175,524.21/396.20
  6. Step 6: Final answer
    x = 443.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.