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Finding the Fourth Proportional to 396, 593.40 and 179.28

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Solution

The fourth proportional to 396, 593.40 and 179.28 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 593.40 = 179.28 : x
  2. Step 2: Convert to fraction form
    396/593.40 = 179.28/x
  3. Step 3: Cross multiply
    396x = 593.40 × 179.28
  4. Step 4: Simplify right side
    396x = 106,384.75
  5. Step 5: Solve for x
    x = 106,384.75/396
  6. Step 6: Final answer
    x = 268.65

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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.