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Finding the Fourth Proportional to 200.73, 299.66 and 191.87

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Solution

The fourth proportional to 200.73, 299.66 and 191.87 is: 286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 299.66 = 191.87 : x
  2. Step 2: Convert to fraction form
    200.73/299.66 = 191.87/x
  3. Step 3: Cross multiply
    200.73x = 299.66 × 191.87
  4. Step 4: Simplify right side
    200.73x = 57,495.76
  5. Step 5: Solve for x
    x = 57,495.76/200.73
  6. Step 6: Final answer
    x = 286.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.