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Finding the Fourth Proportional to 204.40, 282.09 and 120.41

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Solution

The fourth proportional to 204.40, 282.09 and 120.41 is: 166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 282.09 = 120.41 : x
  2. Step 2: Convert to fraction form
    204.40/282.09 = 120.41/x
  3. Step 3: Cross multiply
    204.40x = 282.09 × 120.41
  4. Step 4: Simplify right side
    204.40x = 33,966.46
  5. Step 5: Solve for x
    x = 33,966.46/204.40
  6. Step 6: Final answer
    x = 166.18

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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.