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Finding the Fourth Proportional to 200.68, 276.68 and 197.96

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Solution

The fourth proportional to 200.68, 276.68 and 197.96 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.68 : 276.68 = 197.96 : x
  2. Step 2: Convert to fraction form
    200.68/276.68 = 197.96/x
  3. Step 3: Cross multiply
    200.68x = 276.68 × 197.96
  4. Step 4: Simplify right side
    200.68x = 54,771.57
  5. Step 5: Solve for x
    x = 54,771.57/200.68
  6. Step 6: Final answer
    x = 272.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.