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Finding the Fourth Proportional to 266.38, 399.36 and 163.64

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Solution

The fourth proportional to 266.38, 399.36 and 163.64 is: 245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.38 : 399.36 = 163.64 : x
  2. Step 2: Convert to fraction form
    266.38/399.36 = 163.64/x
  3. Step 3: Cross multiply
    266.38x = 399.36 × 163.64
  4. Step 4: Simplify right side
    266.38x = 65,351.27
  5. Step 5: Solve for x
    x = 65,351.27/266.38
  6. Step 6: Final answer
    x = 245.33

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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.