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Finding the Fourth Proportional to 396.05, 593.57 and 190.25

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Solution

The fourth proportional to 396.05, 593.57 and 190.25 is: 285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.05 : 593.57 = 190.25 : x
  2. Step 2: Convert to fraction form
    396.05/593.57 = 190.25/x
  3. Step 3: Cross multiply
    396.05x = 593.57 × 190.25
  4. Step 4: Simplify right side
    396.05x = 112,926.97
  5. Step 5: Solve for x
    x = 112,926.97/396.05
  6. Step 6: Final answer
    x = 285.13

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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.