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Finding the Fourth Proportional to 223.91, 333.02 and 219.30

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Solution

The fourth proportional to 223.91, 333.02 and 219.30 is: 326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.91 : 333.02 = 219.30 : x
  2. Step 2: Convert to fraction form
    223.91/333.02 = 219.30/x
  3. Step 3: Cross multiply
    223.91x = 333.02 × 219.30
  4. Step 4: Simplify right side
    223.91x = 73,031.29
  5. Step 5: Solve for x
    x = 73,031.29/223.91
  6. Step 6: Final answer
    x = 326.16

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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.