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Finding the Fourth Proportional to 233.29, 323.61 and 220.99

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Solution

The fourth proportional to 233.29, 323.61 and 220.99 is: 306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.29 : 323.61 = 220.99 : x
  2. Step 2: Convert to fraction form
    233.29/323.61 = 220.99/x
  3. Step 3: Cross multiply
    233.29x = 323.61 × 220.99
  4. Step 4: Simplify right side
    233.29x = 71,514.57
  5. Step 5: Solve for x
    x = 71,514.57/233.29
  6. Step 6: Final answer
    x = 306.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.