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Finding the Fourth Proportional to 268.83, 401.11 and 267.30

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Solution

The fourth proportional to 268.83, 401.11 and 267.30 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 401.11 = 267.30 : x
  2. Step 2: Convert to fraction form
    268.83/401.11 = 267.30/x
  3. Step 3: Cross multiply
    268.83x = 401.11 × 267.30
  4. Step 4: Simplify right side
    268.83x = 107,216.03
  5. Step 5: Solve for x
    x = 107,216.03/268.83
  6. Step 6: Final answer
    x = 398.82

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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.