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Finding the Fourth Proportional to 269.36, 401.68 and 267.05

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Solution

The fourth proportional to 269.36, 401.68 and 267.05 is: 398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.36 : 401.68 = 267.05 : x
  2. Step 2: Convert to fraction form
    269.36/401.68 = 267.05/x
  3. Step 3: Cross multiply
    269.36x = 401.68 × 267.05
  4. Step 4: Simplify right side
    269.36x = 107,268.64
  5. Step 5: Solve for x
    x = 107,268.64/269.36
  6. Step 6: Final answer
    x = 398.24

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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.