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Finding the Fourth Proportional to 268.34, 369.97 and 219.11

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Solution

The fourth proportional to 268.34, 369.97 and 219.11 is: 302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 369.97 = 219.11 : x
  2. Step 2: Convert to fraction form
    268.34/369.97 = 219.11/x
  3. Step 3: Cross multiply
    268.34x = 369.97 × 219.11
  4. Step 4: Simplify right side
    268.34x = 81,061.73
  5. Step 5: Solve for x
    x = 81,061.73/268.34
  6. Step 6: Final answer
    x = 302.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.