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Finding the Fourth Proportional to 396.28, 593.53 and 191.00

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Solution

The fourth proportional to 396.28, 593.53 and 191.00 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.28 : 593.53 = 191.00 : x
  2. Step 2: Convert to fraction form
    396.28/593.53 = 191.00/x
  3. Step 3: Cross multiply
    396.28x = 593.53 × 191.00
  4. Step 4: Simplify right side
    396.28x = 113,363.01
  5. Step 5: Solve for x
    x = 113,363.01/396.28
  6. Step 6: Final answer
    x = 286.07

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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.