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Finding the Fourth Proportional to 205.44, 284.63 and 200.43

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Solution

The fourth proportional to 205.44, 284.63 and 200.43 is: 277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.44 : 284.63 = 200.43 : x
  2. Step 2: Convert to fraction form
    205.44/284.63 = 200.43/x
  3. Step 3: Cross multiply
    205.44x = 284.63 × 200.43
  4. Step 4: Simplify right side
    205.44x = 57,047.39
  5. Step 5: Solve for x
    x = 57,047.39/205.44
  6. Step 6: Final answer
    x = 277.68

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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.