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Finding the Fourth Proportional to 200.97, 277.20 and 194.28

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Solution

The fourth proportional to 200.97, 277.20 and 194.28 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 277.20 = 194.28 : x
  2. Step 2: Convert to fraction form
    200.97/277.20 = 194.28/x
  3. Step 3: Cross multiply
    200.97x = 277.20 × 194.28
  4. Step 4: Simplify right side
    200.97x = 53,854.42
  5. Step 5: Solve for x
    x = 53,854.42/200.97
  6. Step 6: Final answer
    x = 267.97

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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.