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Finding the Fourth Proportional to 266.33, 401.42 and 251.44

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Solution

The fourth proportional to 266.33, 401.42 and 251.44 is: 378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.33 : 401.42 = 251.44 : x
  2. Step 2: Convert to fraction form
    266.33/401.42 = 251.44/x
  3. Step 3: Cross multiply
    266.33x = 401.42 × 251.44
  4. Step 4: Simplify right side
    266.33x = 100,932.67
  5. Step 5: Solve for x
    x = 100,932.67/266.33
  6. Step 6: Final answer
    x = 378.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.