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Finding the Fourth Proportional to 223.14, 333.20 and 221.78

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Solution

The fourth proportional to 223.14, 333.20 and 221.78 is: 331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 333.20 = 221.78 : x
  2. Step 2: Convert to fraction form
    223.14/333.20 = 221.78/x
  3. Step 3: Cross multiply
    223.14x = 333.20 × 221.78
  4. Step 4: Simplify right side
    223.14x = 73,897.10
  5. Step 5: Solve for x
    x = 73,897.10/223.14
  6. Step 6: Final answer
    x = 331.17

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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.