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Finding the Fourth Proportional to 167.48, 230.96 and 105.23

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Solution

The fourth proportional to 167.48, 230.96 and 105.23 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.48 : 230.96 = 105.23 : x
  2. Step 2: Convert to fraction form
    167.48/230.96 = 105.23/x
  3. Step 3: Cross multiply
    167.48x = 230.96 × 105.23
  4. Step 4: Simplify right side
    167.48x = 24,303.92
  5. Step 5: Solve for x
    x = 24,303.92/167.48
  6. Step 6: Final answer
    x = 145.12

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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.