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Finding the Fourth Proportional to 266.39, 399.64 and 83.78

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Solution

The fourth proportional to 266.39, 399.64 and 83.78 is: 125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.39 : 399.64 = 83.78 : x
  2. Step 2: Convert to fraction form
    266.39/399.64 = 83.78/x
  3. Step 3: Cross multiply
    266.39x = 399.64 × 83.78
  4. Step 4: Simplify right side
    266.39x = 33,481.29
  5. Step 5: Solve for x
    x = 33,481.29/266.39
  6. Step 6: Final answer
    x = 125.69

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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.