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Finding the Fourth Proportional to 362.82, 543.78 and 200.64

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Solution

The fourth proportional to 362.82, 543.78 and 200.64 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.82 : 543.78 = 200.64 : x
  2. Step 2: Convert to fraction form
    362.82/543.78 = 200.64/x
  3. Step 3: Cross multiply
    362.82x = 543.78 × 200.64
  4. Step 4: Simplify right side
    362.82x = 109,104.02
  5. Step 5: Solve for x
    x = 109,104.02/362.82
  6. Step 6: Final answer
    x = 300.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.