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Finding the Fourth Proportional to 200.38, 298.81 and 182.27

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Solution

The fourth proportional to 200.38, 298.81 and 182.27 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 298.81 = 182.27 : x
  2. Step 2: Convert to fraction form
    200.38/298.81 = 182.27/x
  3. Step 3: Cross multiply
    200.38x = 298.81 × 182.27
  4. Step 4: Simplify right side
    200.38x = 54,464.10
  5. Step 5: Solve for x
    x = 54,464.10/200.38
  6. Step 6: Final answer
    x = 271.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.