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Finding the Fourth Proportional to 396, 593.64 and 164.88

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Solution

The fourth proportional to 396, 593.64 and 164.88 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 593.64 = 164.88 : x
  2. Step 2: Convert to fraction form
    396/593.64 = 164.88/x
  3. Step 3: Cross multiply
    396x = 593.64 × 164.88
  4. Step 4: Simplify right side
    396x = 97,879.36
  5. Step 5: Solve for x
    x = 97,879.36/396
  6. Step 6: Final answer
    x = 247.17

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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.