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Finding the Fourth Proportional to 266.76, 402.07 and 251.08

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Solution

The fourth proportional to 266.76, 402.07 and 251.08 is: 378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 402.07 = 251.08 : x
  2. Step 2: Convert to fraction form
    266.76/402.07 = 251.08/x
  3. Step 3: Cross multiply
    266.76x = 402.07 × 251.08
  4. Step 4: Simplify right side
    266.76x = 100,951.74
  5. Step 5: Solve for x
    x = 100,951.74/266.76
  6. Step 6: Final answer
    x = 378.44

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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.