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Finding the Fourth Proportional to 268.73, 371.30 and 233.49

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Solution

The fourth proportional to 268.73, 371.30 and 233.49 is: 322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.73 : 371.30 = 233.49 : x
  2. Step 2: Convert to fraction form
    268.73/371.30 = 233.49/x
  3. Step 3: Cross multiply
    268.73x = 371.30 × 233.49
  4. Step 4: Simplify right side
    268.73x = 86,694.84
  5. Step 5: Solve for x
    x = 86,694.84/268.73
  6. Step 6: Final answer
    x = 322.61

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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.