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Finding the Fourth Proportional to 200.38, 276.52 and 108.38

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Solution

The fourth proportional to 200.38, 276.52 and 108.38 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 276.52 = 108.38 : x
  2. Step 2: Convert to fraction form
    200.38/276.52 = 108.38/x
  3. Step 3: Cross multiply
    200.38x = 276.52 × 108.38
  4. Step 4: Simplify right side
    200.38x = 29,967.58
  5. Step 5: Solve for x
    x = 29,967.58/200.38
  6. Step 6: Final answer
    x = 149.56

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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.