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Finding the Fourth Proportional to 204.80, 282.54 and 126.06

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Solution

The fourth proportional to 204.80, 282.54 and 126.06 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 282.54 = 126.06 : x
  2. Step 2: Convert to fraction form
    204.80/282.54 = 126.06/x
  3. Step 3: Cross multiply
    204.80x = 282.54 × 126.06
  4. Step 4: Simplify right side
    204.80x = 35,615.70
  5. Step 5: Solve for x
    x = 35,615.70/204.80
  6. Step 6: Final answer
    x = 173.91

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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.