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Finding the Fourth Proportional to 200.29, 276.45 and 126.61

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Solution

The fourth proportional to 200.29, 276.45 and 126.61 is: 174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.29 : 276.45 = 126.61 : x
  2. Step 2: Convert to fraction form
    200.29/276.45 = 126.61/x
  3. Step 3: Cross multiply
    200.29x = 276.45 × 126.61
  4. Step 4: Simplify right side
    200.29x = 35,001.33
  5. Step 5: Solve for x
    x = 35,001.33/200.29
  6. Step 6: Final answer
    x = 174.75

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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.