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Finding the Fourth Proportional to 168.74, 232.54 and 145.42

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Solution

The fourth proportional to 168.74, 232.54 and 145.42 is: 200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.74 : 232.54 = 145.42 : x
  2. Step 2: Convert to fraction form
    168.74/232.54 = 145.42/x
  3. Step 3: Cross multiply
    168.74x = 232.54 × 145.42
  4. Step 4: Simplify right side
    168.74x = 33,815.97
  5. Step 5: Solve for x
    x = 33,815.97/168.74
  6. Step 6: Final answer
    x = 200.40

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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.