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Finding the Fourth Proportional to 200.75, 301.10 and 109.43

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Solution

The fourth proportional to 200.75, 301.10 and 109.43 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 301.10 = 109.43 : x
  2. Step 2: Convert to fraction form
    200.75/301.10 = 109.43/x
  3. Step 3: Cross multiply
    200.75x = 301.10 × 109.43
  4. Step 4: Simplify right side
    200.75x = 32,947.32
  5. Step 5: Solve for x
    x = 32,947.32/200.75
  6. Step 6: Final answer
    x = 164.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.