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Finding the Fourth Proportional to 266.03, 400.96 and 251.15

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Solution

The fourth proportional to 266.03, 400.96 and 251.15 is: 378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.03 : 400.96 = 251.15 : x
  2. Step 2: Convert to fraction form
    266.03/400.96 = 251.15/x
  3. Step 3: Cross multiply
    266.03x = 400.96 × 251.15
  4. Step 4: Simplify right side
    266.03x = 100,698.85
  5. Step 5: Solve for x
    x = 100,698.85/266.03
  6. Step 6: Final answer
    x = 378.52

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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.