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Finding the Fourth Proportional to 200.67, 276.78 and 126.92

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Solution

The fourth proportional to 200.67, 276.78 and 126.92 is: 175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 276.78 = 126.92 : x
  2. Step 2: Convert to fraction form
    200.67/276.78 = 126.92/x
  3. Step 3: Cross multiply
    200.67x = 276.78 × 126.92
  4. Step 4: Simplify right side
    200.67x = 35,127.48
  5. Step 5: Solve for x
    x = 35,127.48/200.67
  6. Step 6: Final answer
    x = 175.05

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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.