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Finding the Fourth Proportional to 396, 593.57 and 135.76

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Solution

The fourth proportional to 396, 593.57 and 135.76 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 593.57 = 135.76 : x
  2. Step 2: Convert to fraction form
    396/593.57 = 135.76/x
  3. Step 3: Cross multiply
    396x = 593.57 × 135.76
  4. Step 4: Simplify right side
    396x = 80,580.10
  5. Step 5: Solve for x
    x = 80,580.10/396
  6. Step 6: Final answer
    x = 203.49

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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.