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Finding the Fourth Proportional to 268.21, 402.68 and 219.97

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Solution

The fourth proportional to 268.21, 402.68 and 219.97 is: 330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.21 : 402.68 = 219.97 : x
  2. Step 2: Convert to fraction form
    268.21/402.68 = 219.97/x
  3. Step 3: Cross multiply
    268.21x = 402.68 × 219.97
  4. Step 4: Simplify right side
    268.21x = 88,576.42
  5. Step 5: Solve for x
    x = 88,576.42/268.21
  6. Step 6: Final answer
    x = 330.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.