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Finding the Fourth Proportional to 396.23, 589.67 and 381.65

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Solution

The fourth proportional to 396.23, 589.67 and 381.65 is: 567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 589.67 = 381.65 : x
  2. Step 2: Convert to fraction form
    396.23/589.67 = 381.65/x
  3. Step 3: Cross multiply
    396.23x = 589.67 × 381.65
  4. Step 4: Simplify right side
    396.23x = 225,047.56
  5. Step 5: Solve for x
    x = 225,047.56/396.23
  6. Step 6: Final answer
    x = 567.97

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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.