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Finding the Fourth Proportional to 167.22, 230.64 and 105

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Solution

The fourth proportional to 167.22, 230.64 and 105 is: 144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 230.64 = 105 : x
  2. Step 2: Convert to fraction form
    167.22/230.64 = 105/x
  3. Step 3: Cross multiply
    167.22x = 230.64 × 105
  4. Step 4: Simplify right side
    167.22x = 24,217.20
  5. Step 5: Solve for x
    x = 24,217.20/167.22
  6. Step 6: Final answer
    x = 144.82

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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.