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Finding the Fourth Proportional to 200.91, 301.15 and 85.25

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Solution

The fourth proportional to 200.91, 301.15 and 85.25 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.91 : 301.15 = 85.25 : x
  2. Step 2: Convert to fraction form
    200.91/301.15 = 85.25/x
  3. Step 3: Cross multiply
    200.91x = 301.15 × 85.25
  4. Step 4: Simplify right side
    200.91x = 25,673.04
  5. Step 5: Solve for x
    x = 25,673.04/200.91
  6. Step 6: Final answer
    x = 127.78

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