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Finding the Fourth Proportional to 167.98, 231.78 and 105.82

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Solution

The fourth proportional to 167.98, 231.78 and 105.82 is: 146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.98 : 231.78 = 105.82 : x
  2. Step 2: Convert to fraction form
    167.98/231.78 = 105.82/x
  3. Step 3: Cross multiply
    167.98x = 231.78 × 105.82
  4. Step 4: Simplify right side
    167.98x = 24,526.96
  5. Step 5: Solve for x
    x = 24,526.96/167.98
  6. Step 6: Final answer
    x = 146.01

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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.