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Finding the Fourth Proportional to 266.78, 402.09 and 251.90

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Solution

The fourth proportional to 266.78, 402.09 and 251.90 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 402.09 = 251.90 : x
  2. Step 2: Convert to fraction form
    266.78/402.09 = 251.90/x
  3. Step 3: Cross multiply
    266.78x = 402.09 × 251.90
  4. Step 4: Simplify right side
    266.78x = 101,285.21
  5. Step 5: Solve for x
    x = 101,285.21/266.78
  6. Step 6: Final answer
    x = 379.66

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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.