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Finding the Fourth Proportional to 396.09, 593.69 and 200.77

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Solution

The fourth proportional to 396.09, 593.69 and 200.77 is: 300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.09 : 593.69 = 200.77 : x
  2. Step 2: Convert to fraction form
    396.09/593.69 = 200.77/x
  3. Step 3: Cross multiply
    396.09x = 593.69 × 200.77
  4. Step 4: Simplify right side
    396.09x = 119,192.65
  5. Step 5: Solve for x
    x = 119,192.65/396.09
  6. Step 6: Final answer
    x = 300.92

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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.