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Finding the Fourth Proportional to 168.56, 232.64 and 103.04

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Solution

The fourth proportional to 168.56, 232.64 and 103.04 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.56 : 232.64 = 103.04 : x
  2. Step 2: Convert to fraction form
    168.56/232.64 = 103.04/x
  3. Step 3: Cross multiply
    168.56x = 232.64 × 103.04
  4. Step 4: Simplify right side
    168.56x = 23,971.23
  5. Step 5: Solve for x
    x = 23,971.23/168.56
  6. Step 6: Final answer
    x = 142.21

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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.