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Finding the Fourth Proportional to 200.75, 276.95 and 122.03

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Solution

The fourth proportional to 200.75, 276.95 and 122.03 is: 168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 276.95 = 122.03 : x
  2. Step 2: Convert to fraction form
    200.75/276.95 = 122.03/x
  3. Step 3: Cross multiply
    200.75x = 276.95 × 122.03
  4. Step 4: Simplify right side
    200.75x = 33,796.29
  5. Step 5: Solve for x
    x = 33,796.29/200.75
  6. Step 6: Final answer
    x = 168.35

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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.