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Finding the Fourth Proportional to 200.82, 277.13 and 122.16

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Solution

The fourth proportional to 200.82, 277.13 and 122.16 is: 168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 277.13 = 122.16 : x
  2. Step 2: Convert to fraction form
    200.82/277.13 = 122.16/x
  3. Step 3: Cross multiply
    200.82x = 277.13 × 122.16
  4. Step 4: Simplify right side
    200.82x = 33,854.20
  5. Step 5: Solve for x
    x = 33,854.20/200.82
  6. Step 6: Final answer
    x = 168.58

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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.