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Finding the Fourth Proportional to 200.82, 301.02 and 191.22

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Solution

The fourth proportional to 200.82, 301.02 and 191.22 is: 286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 301.02 = 191.22 : x
  2. Step 2: Convert to fraction form
    200.82/301.02 = 191.22/x
  3. Step 3: Cross multiply
    200.82x = 301.02 × 191.22
  4. Step 4: Simplify right side
    200.82x = 57,561.04
  5. Step 5: Solve for x
    x = 57,561.04/200.82
  6. Step 6: Final answer
    x = 286.63

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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.