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Finding the Fourth Proportional to 200.20, 276.22 and 126.48

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Solution

The fourth proportional to 200.20, 276.22 and 126.48 is: 174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 276.22 = 126.48 : x
  2. Step 2: Convert to fraction form
    200.20/276.22 = 126.48/x
  3. Step 3: Cross multiply
    200.20x = 276.22 × 126.48
  4. Step 4: Simplify right side
    200.20x = 34,936.31
  5. Step 5: Solve for x
    x = 34,936.31/200.20
  6. Step 6: Final answer
    x = 174.51

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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.