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Finding the Fourth Proportional to 168.94, 233.13 and 103.47

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Solution

The fourth proportional to 168.94, 233.13 and 103.47 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.94 : 233.13 = 103.47 : x
  2. Step 2: Convert to fraction form
    168.94/233.13 = 103.47/x
  3. Step 3: Cross multiply
    168.94x = 233.13 × 103.47
  4. Step 4: Simplify right side
    168.94x = 24,121.96
  5. Step 5: Solve for x
    x = 24,121.96/168.94
  6. Step 6: Final answer
    x = 142.78

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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.