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Finding the Fourth Proportional to 167.98, 231.90 and 105.90

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Solution

The fourth proportional to 167.98, 231.90 and 105.90 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.98 : 231.90 = 105.90 : x
  2. Step 2: Convert to fraction form
    167.98/231.90 = 105.90/x
  3. Step 3: Cross multiply
    167.98x = 231.90 × 105.90
  4. Step 4: Simplify right side
    167.98x = 24,558.21
  5. Step 5: Solve for x
    x = 24,558.21/167.98
  6. Step 6: Final answer
    x = 146.20

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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.