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Finding the Fourth Proportional to 200.97, 277.39 and 118.11

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Solution

The fourth proportional to 200.97, 277.39 and 118.11 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 277.39 = 118.11 : x
  2. Step 2: Convert to fraction form
    200.97/277.39 = 118.11/x
  3. Step 3: Cross multiply
    200.97x = 277.39 × 118.11
  4. Step 4: Simplify right side
    200.97x = 32,761.33
  5. Step 5: Solve for x
    x = 32,761.33/200.97
  6. Step 6: Final answer
    x = 163.01

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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.