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Finding the Fourth Proportional to 396.35, 593.62 and 191.06

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Solution

The fourth proportional to 396.35, 593.62 and 191.06 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.35 : 593.62 = 191.06 : x
  2. Step 2: Convert to fraction form
    396.35/593.62 = 191.06/x
  3. Step 3: Cross multiply
    396.35x = 593.62 × 191.06
  4. Step 4: Simplify right side
    396.35x = 113,418.52
  5. Step 5: Solve for x
    x = 113,418.52/396.35
  6. Step 6: Final answer
    x = 286.16

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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.