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Finding the Fourth Proportional to 168.08, 231.76 and 105.83

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Solution

The fourth proportional to 168.08, 231.76 and 105.83 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.08 : 231.76 = 105.83 : x
  2. Step 2: Convert to fraction form
    168.08/231.76 = 105.83/x
  3. Step 3: Cross multiply
    168.08x = 231.76 × 105.83
  4. Step 4: Simplify right side
    168.08x = 24,527.16
  5. Step 5: Solve for x
    x = 24,527.16/168.08
  6. Step 6: Final answer
    x = 145.93

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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.