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Finding the Fourth Proportional to 167.45, 231.01 and 105.26

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Solution

The fourth proportional to 167.45, 231.01 and 105.26 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 231.01 = 105.26 : x
  2. Step 2: Convert to fraction form
    167.45/231.01 = 105.26/x
  3. Step 3: Cross multiply
    167.45x = 231.01 × 105.26
  4. Step 4: Simplify right side
    167.45x = 24,314.69
  5. Step 5: Solve for x
    x = 24,314.69/167.45
  6. Step 6: Final answer
    x = 145.21

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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.