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Finding the Fourth Proportional to 205.63, 281.91 and 201.98

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Solution

The fourth proportional to 205.63, 281.91 and 201.98 is: 276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.63 : 281.91 = 201.98 : x
  2. Step 2: Convert to fraction form
    205.63/281.91 = 201.98/x
  3. Step 3: Cross multiply
    205.63x = 281.91 × 201.98
  4. Step 4: Simplify right side
    205.63x = 56,941.64
  5. Step 5: Solve for x
    x = 56,941.64/205.63
  6. Step 6: Final answer
    x = 276.92

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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.