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Finding the Fourth Proportional to 200.97, 277.26 and 146.09

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Solution

The fourth proportional to 200.97, 277.26 and 146.09 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 277.26 = 146.09 : x
  2. Step 2: Convert to fraction form
    200.97/277.26 = 146.09/x
  3. Step 3: Cross multiply
    200.97x = 277.26 × 146.09
  4. Step 4: Simplify right side
    200.97x = 40,503.53
  5. Step 5: Solve for x
    x = 40,503.53/200.97
  6. Step 6: Final answer
    x = 201.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.