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Finding the Fourth Proportional to 204.76, 283.90 and 200.80

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Solution

The fourth proportional to 204.76, 283.90 and 200.80 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 283.90 = 200.80 : x
  2. Step 2: Convert to fraction form
    204.76/283.90 = 200.80/x
  3. Step 3: Cross multiply
    204.76x = 283.90 × 200.80
  4. Step 4: Simplify right side
    204.76x = 57,007.12
  5. Step 5: Solve for x
    x = 57,007.12/204.76
  6. Step 6: Final answer
    x = 278.41

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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.