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Finding the Fourth Proportional to 268.69, 400.97 and 267.15

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Solution

The fourth proportional to 268.69, 400.97 and 267.15 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.69 : 400.97 = 267.15 : x
  2. Step 2: Convert to fraction form
    268.69/400.97 = 267.15/x
  3. Step 3: Cross multiply
    268.69x = 400.97 × 267.15
  4. Step 4: Simplify right side
    268.69x = 107,118.30
  5. Step 5: Solve for x
    x = 107,118.30/268.69
  6. Step 6: Final answer
    x = 398.67

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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.