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Finding the Fourth Proportional to 221.34, 333.17 and 194.88

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Solution

The fourth proportional to 221.34, 333.17 and 194.88 is: 293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.34 : 333.17 = 194.88 : x
  2. Step 2: Convert to fraction form
    221.34/333.17 = 194.88/x
  3. Step 3: Cross multiply
    221.34x = 333.17 × 194.88
  4. Step 4: Simplify right side
    221.34x = 64,927.20
  5. Step 5: Solve for x
    x = 64,927.20/221.34
  6. Step 6: Final answer
    x = 293.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.