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Finding the Fourth Proportional to 146.15, 201.62 and 83.96

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Solution

The fourth proportional to 146.15, 201.62 and 83.96 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.15 : 201.62 = 83.96 : x
  2. Step 2: Convert to fraction form
    146.15/201.62 = 83.96/x
  3. Step 3: Cross multiply
    146.15x = 201.62 × 83.96
  4. Step 4: Simplify right side
    146.15x = 16,928.10
  5. Step 5: Solve for x
    x = 16,928.10/146.15
  6. Step 6: Final answer
    x = 115.83

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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.