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Finding the Fourth Proportional to 204.16, 281.70 and 116.86

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Solution

The fourth proportional to 204.16, 281.70 and 116.86 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 281.70 = 116.86 : x
  2. Step 2: Convert to fraction form
    204.16/281.70 = 116.86/x
  3. Step 3: Cross multiply
    204.16x = 281.70 × 116.86
  4. Step 4: Simplify right side
    204.16x = 32,919.46
  5. Step 5: Solve for x
    x = 32,919.46/204.16
  6. Step 6: Final answer
    x = 161.24

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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.