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Finding the Fourth Proportional to 223.52, 309.98 and 201.92

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Solution

The fourth proportional to 223.52, 309.98 and 201.92 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 309.98 = 201.92 : x
  2. Step 2: Convert to fraction form
    223.52/309.98 = 201.92/x
  3. Step 3: Cross multiply
    223.52x = 309.98 × 201.92
  4. Step 4: Simplify right side
    223.52x = 62,591.16
  5. Step 5: Solve for x
    x = 62,591.16/223.52
  6. Step 6: Final answer
    x = 280.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.