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Finding the Fourth Proportional to 200.22, 276.31 and 112.88

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Solution

The fourth proportional to 200.22, 276.31 and 112.88 is: 155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 276.31 = 112.88 : x
  2. Step 2: Convert to fraction form
    200.22/276.31 = 112.88/x
  3. Step 3: Cross multiply
    200.22x = 276.31 × 112.88
  4. Step 4: Simplify right side
    200.22x = 31,189.87
  5. Step 5: Solve for x
    x = 31,189.87/200.22
  6. Step 6: Final answer
    x = 155.78

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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.