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Finding the Fourth Proportional to 396.63, 593.64 and 213.57

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Solution

The fourth proportional to 396.63, 593.64 and 213.57 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 593.64 = 213.57 : x
  2. Step 2: Convert to fraction form
    396.63/593.64 = 213.57/x
  3. Step 3: Cross multiply
    396.63x = 593.64 × 213.57
  4. Step 4: Simplify right side
    396.63x = 126,783.69
  5. Step 5: Solve for x
    x = 126,783.69/396.63
  6. Step 6: Final answer
    x = 319.65

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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.