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Finding the Fourth Proportional to 272.11, 405.74 and 267.25

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Solution

The fourth proportional to 272.11, 405.74 and 267.25 is: 398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.11 : 405.74 = 267.25 : x
  2. Step 2: Convert to fraction form
    272.11/405.74 = 267.25/x
  3. Step 3: Cross multiply
    272.11x = 405.74 × 267.25
  4. Step 4: Simplify right side
    272.11x = 108,434.02
  5. Step 5: Solve for x
    x = 108,434.02/272.11
  6. Step 6: Final answer
    x = 398.49

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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.