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Finding the Fourth Proportional to 396.13, 597.74 and 381.13

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Solution

The fourth proportional to 396.13, 597.74 and 381.13 is: 575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.13 : 597.74 = 381.13 : x
  2. Step 2: Convert to fraction form
    396.13/597.74 = 381.13/x
  3. Step 3: Cross multiply
    396.13x = 597.74 × 381.13
  4. Step 4: Simplify right side
    396.13x = 227,815.69
  5. Step 5: Solve for x
    x = 227,815.69/396.13
  6. Step 6: Final answer
    x = 575.10

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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.