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Finding the Fourth Proportional to 204.03, 281.57 and 116.71

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Solution

The fourth proportional to 204.03, 281.57 and 116.71 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.03 : 281.57 = 116.71 : x
  2. Step 2: Convert to fraction form
    204.03/281.57 = 116.71/x
  3. Step 3: Cross multiply
    204.03x = 281.57 × 116.71
  4. Step 4: Simplify right side
    204.03x = 32,862.03
  5. Step 5: Solve for x
    x = 32,862.03/204.03
  6. Step 6: Final answer
    x = 161.06

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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.