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Finding the Fourth Proportional to 168.54, 253.73 and 120.78

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Solution

The fourth proportional to 168.54, 253.73 and 120.78 is: 181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.54 : 253.73 = 120.78 : x
  2. Step 2: Convert to fraction form
    168.54/253.73 = 120.78/x
  3. Step 3: Cross multiply
    168.54x = 253.73 × 120.78
  4. Step 4: Simplify right side
    168.54x = 30,644.91
  5. Step 5: Solve for x
    x = 30,644.91/168.54
  6. Step 6: Final answer
    x = 181.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.