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Finding the Fourth Proportional to 199.96, 276.04 and 126.31

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Solution

The fourth proportional to 199.96, 276.04 and 126.31 is: 174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 276.04 = 126.31 : x
  2. Step 2: Convert to fraction form
    199.96/276.04 = 126.31/x
  3. Step 3: Cross multiply
    199.96x = 276.04 × 126.31
  4. Step 4: Simplify right side
    199.96x = 34,866.61
  5. Step 5: Solve for x
    x = 34,866.61/199.96
  6. Step 6: Final answer
    x = 174.37

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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.