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Finding the Fourth Proportional to 266.13, 401.49 and 251.19

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Solution

The fourth proportional to 266.13, 401.49 and 251.19 is: 378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.13 : 401.49 = 251.19 : x
  2. Step 2: Convert to fraction form
    266.13/401.49 = 251.19/x
  3. Step 3: Cross multiply
    266.13x = 401.49 × 251.19
  4. Step 4: Simplify right side
    266.13x = 100,850.27
  5. Step 5: Solve for x
    x = 100,850.27/266.13
  6. Step 6: Final answer
    x = 378.95

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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.