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Finding the Fourth Proportional to 223.73, 333.14 and 221.28

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Solution

The fourth proportional to 223.73, 333.14 and 221.28 is: 329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.73 : 333.14 = 221.28 : x
  2. Step 2: Convert to fraction form
    223.73/333.14 = 221.28/x
  3. Step 3: Cross multiply
    223.73x = 333.14 × 221.28
  4. Step 4: Simplify right side
    223.73x = 73,717.22
  5. Step 5: Solve for x
    x = 73,717.22/223.73
  6. Step 6: Final answer
    x = 329.49

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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.