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Finding the Fourth Proportional to 200.31, 276.43 and 108.31

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Solution

The fourth proportional to 200.31, 276.43 and 108.31 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 276.43 = 108.31 : x
  2. Step 2: Convert to fraction form
    200.31/276.43 = 108.31/x
  3. Step 3: Cross multiply
    200.31x = 276.43 × 108.31
  4. Step 4: Simplify right side
    200.31x = 29,940.96
  5. Step 5: Solve for x
    x = 29,940.96/200.31
  6. Step 6: Final answer
    x = 149.47

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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.