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Finding the Fourth Proportional to 204.75, 281.63 and 180.16

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Solution

The fourth proportional to 204.75, 281.63 and 180.16 is: 247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 281.63 = 180.16 : x
  2. Step 2: Convert to fraction form
    204.75/281.63 = 180.16/x
  3. Step 3: Cross multiply
    204.75x = 281.63 × 180.16
  4. Step 4: Simplify right side
    204.75x = 50,738.21
  5. Step 5: Solve for x
    x = 50,738.21/204.75
  6. Step 6: Final answer
    x = 247.81

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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.