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Finding the Fourth Proportional to 268.72, 401.17 and 220.66

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Solution

The fourth proportional to 268.72, 401.17 and 220.66 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.72 : 401.17 = 220.66 : x
  2. Step 2: Convert to fraction form
    268.72/401.17 = 220.66/x
  3. Step 3: Cross multiply
    268.72x = 401.17 × 220.66
  4. Step 4: Simplify right side
    268.72x = 88,522.17
  5. Step 5: Solve for x
    x = 88,522.17/268.72
  6. Step 6: Final answer
    x = 329.42

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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.