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Finding the Fourth Proportional to 272.26, 405.77 and 267.94

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Solution

The fourth proportional to 272.26, 405.77 and 267.94 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.26 : 405.77 = 267.94 : x
  2. Step 2: Convert to fraction form
    272.26/405.77 = 267.94/x
  3. Step 3: Cross multiply
    272.26x = 405.77 × 267.94
  4. Step 4: Simplify right side
    272.26x = 108,722.01
  5. Step 5: Solve for x
    x = 108,722.01/272.26
  6. Step 6: Final answer
    x = 399.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.