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Finding the Fourth Proportional to 204.13, 281.69 and 112.13

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Solution

The fourth proportional to 204.13, 281.69 and 112.13 is: 154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.13 : 281.69 = 112.13 : x
  2. Step 2: Convert to fraction form
    204.13/281.69 = 112.13/x
  3. Step 3: Cross multiply
    204.13x = 281.69 × 112.13
  4. Step 4: Simplify right side
    204.13x = 31,584.77
  5. Step 5: Solve for x
    x = 31,584.77/204.13
  6. Step 6: Final answer
    x = 154.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.