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Finding the Fourth Proportional to 205.51, 281.96 and 200.34

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Solution

The fourth proportional to 205.51, 281.96 and 200.34 is: 274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.51 : 281.96 = 200.34 : x
  2. Step 2: Convert to fraction form
    205.51/281.96 = 200.34/x
  3. Step 3: Cross multiply
    205.51x = 281.96 × 200.34
  4. Step 4: Simplify right side
    205.51x = 56,487.87
  5. Step 5: Solve for x
    x = 56,487.87/205.51
  6. Step 6: Final answer
    x = 274.87

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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.