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Finding the Fourth Proportional to 254.97, 381.63 and 200.97

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Solution

The fourth proportional to 254.97, 381.63 and 200.97 is: 300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.97 : 381.63 = 200.97 : x
  2. Step 2: Convert to fraction form
    254.97/381.63 = 200.97/x
  3. Step 3: Cross multiply
    254.97x = 381.63 × 200.97
  4. Step 4: Simplify right side
    254.97x = 76,696.18
  5. Step 5: Solve for x
    x = 76,696.18/254.97
  6. Step 6: Final answer
    x = 300.80

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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.