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Finding the Fourth Proportional to 200.73, 299.88 and 192.54

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Solution

The fourth proportional to 200.73, 299.88 and 192.54 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 299.88 = 192.54 : x
  2. Step 2: Convert to fraction form
    200.73/299.88 = 192.54/x
  3. Step 3: Cross multiply
    200.73x = 299.88 × 192.54
  4. Step 4: Simplify right side
    200.73x = 57,738.90
  5. Step 5: Solve for x
    x = 57,738.90/200.73
  6. Step 6: Final answer
    x = 287.64

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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.