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Finding the Fourth Proportional to 266.78, 399.71 and 163.76

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Solution

The fourth proportional to 266.78, 399.71 and 163.76 is: 245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 399.71 = 163.76 : x
  2. Step 2: Convert to fraction form
    266.78/399.71 = 163.76/x
  3. Step 3: Cross multiply
    266.78x = 399.71 × 163.76
  4. Step 4: Simplify right side
    266.78x = 65,453.69
  5. Step 5: Solve for x
    x = 65,453.69/266.78
  6. Step 6: Final answer
    x = 245.35

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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.