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Finding the Fourth Proportional to 200.69, 301.10 and 85.09

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Solution

The fourth proportional to 200.69, 301.10 and 85.09 is: 127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.69 : 301.10 = 85.09 : x
  2. Step 2: Convert to fraction form
    200.69/301.10 = 85.09/x
  3. Step 3: Cross multiply
    200.69x = 301.10 × 85.09
  4. Step 4: Simplify right side
    200.69x = 25,619.31
  5. Step 5: Solve for x
    x = 25,619.31/200.69
  6. Step 6: Final answer
    x = 127.66

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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.