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Finding the Fourth Proportional to 221.52, 334.02 and 203.52

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Solution

The fourth proportional to 221.52, 334.02 and 203.52 is: 306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 334.02 = 203.52 : x
  2. Step 2: Convert to fraction form
    221.52/334.02 = 203.52/x
  3. Step 3: Cross multiply
    221.52x = 334.02 × 203.52
  4. Step 4: Simplify right side
    221.52x = 67,979.75
  5. Step 5: Solve for x
    x = 67,979.75/221.52
  6. Step 6: Final answer
    x = 306.88

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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.