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Finding the Fourth Proportional to 167.85, 231.68 and 105.64

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Solution

The fourth proportional to 167.85, 231.68 and 105.64 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.85 : 231.68 = 105.64 : x
  2. Step 2: Convert to fraction form
    167.85/231.68 = 105.64/x
  3. Step 3: Cross multiply
    167.85x = 231.68 × 105.64
  4. Step 4: Simplify right side
    167.85x = 24,474.68
  5. Step 5: Solve for x
    x = 24,474.68/167.85
  6. Step 6: Final answer
    x = 145.81

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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.