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Finding the Fourth Proportional to 223.29, 306.38 and 217.17

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Solution

The fourth proportional to 223.29, 306.38 and 217.17 is: 297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.29 : 306.38 = 217.17 : x
  2. Step 2: Convert to fraction form
    223.29/306.38 = 217.17/x
  3. Step 3: Cross multiply
    223.29x = 306.38 × 217.17
  4. Step 4: Simplify right side
    223.29x = 66,537.09
  5. Step 5: Solve for x
    x = 66,537.09/223.29
  6. Step 6: Final answer
    x = 297.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.