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Finding the Fourth Proportional to 266.98, 402.16 and 250.78

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Solution

The fourth proportional to 266.98, 402.16 and 250.78 is: 377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.98 : 402.16 = 250.78 : x
  2. Step 2: Convert to fraction form
    266.98/402.16 = 250.78/x
  3. Step 3: Cross multiply
    266.98x = 402.16 × 250.78
  4. Step 4: Simplify right side
    266.98x = 100,853.68
  5. Step 5: Solve for x
    x = 100,853.68/266.98
  6. Step 6: Final answer
    x = 377.76

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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.