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Finding the Fourth Proportional to 167.21, 230.75 and 105

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Solution

The fourth proportional to 167.21, 230.75 and 105 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.21 : 230.75 = 105 : x
  2. Step 2: Convert to fraction form
    167.21/230.75 = 105/x
  3. Step 3: Cross multiply
    167.21x = 230.75 × 105
  4. Step 4: Simplify right side
    167.21x = 24,228.23
  5. Step 5: Solve for x
    x = 24,228.23/167.21
  6. Step 6: Final answer
    x = 144.90

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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.