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Finding the Fourth Proportional to 204.15, 281.83 and 137.86

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Solution

The fourth proportional to 204.15, 281.83 and 137.86 is: 190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.15 : 281.83 = 137.86 : x
  2. Step 2: Convert to fraction form
    204.15/281.83 = 137.86/x
  3. Step 3: Cross multiply
    204.15x = 281.83 × 137.86
  4. Step 4: Simplify right side
    204.15x = 38,853.08
  5. Step 5: Solve for x
    x = 38,853.08/204.15
  6. Step 6: Final answer
    x = 190.32

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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.