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Finding the Fourth Proportional to 200.97, 301.61 and 109.57

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Solution

The fourth proportional to 200.97, 301.61 and 109.57 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 301.61 = 109.57 : x
  2. Step 2: Convert to fraction form
    200.97/301.61 = 109.57/x
  3. Step 3: Cross multiply
    200.97x = 301.61 × 109.57
  4. Step 4: Simplify right side
    200.97x = 33,047.41
  5. Step 5: Solve for x
    x = 33,047.41/200.97
  6. Step 6: Final answer
    x = 164.44

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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.