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Finding the Fourth Proportional to 266.13, 398.67 and 251.14

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Solution

The fourth proportional to 266.13, 398.67 and 251.14 is: 376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.13 : 398.67 = 251.14 : x
  2. Step 2: Convert to fraction form
    266.13/398.67 = 251.14/x
  3. Step 3: Cross multiply
    266.13x = 398.67 × 251.14
  4. Step 4: Simplify right side
    266.13x = 100,121.98
  5. Step 5: Solve for x
    x = 100,121.98/266.13
  6. Step 6: Final answer
    x = 376.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.