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Finding the Fourth Proportional to 205.40, 281.78 and 200.02

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Solution

The fourth proportional to 205.40, 281.78 and 200.02 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 281.78 = 200.02 : x
  2. Step 2: Convert to fraction form
    205.40/281.78 = 200.02/x
  3. Step 3: Cross multiply
    205.40x = 281.78 × 200.02
  4. Step 4: Simplify right side
    205.40x = 56,359.23
  5. Step 5: Solve for x
    x = 56,359.23/205.40
  6. Step 6: Final answer
    x = 274.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.