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Finding the Fourth Proportional to 267.69, 400.84 and 251.48

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Solution

The fourth proportional to 267.69, 400.84 and 251.48 is: 376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.69 : 400.84 = 251.48 : x
  2. Step 2: Convert to fraction form
    267.69/400.84 = 251.48/x
  3. Step 3: Cross multiply
    267.69x = 400.84 × 251.48
  4. Step 4: Simplify right side
    267.69x = 100,803.24
  5. Step 5: Solve for x
    x = 100,803.24/267.69
  6. Step 6: Final answer
    x = 376.57

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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.