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Finding the Fourth Proportional to 456.96, 685.60 and 168.48

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Solution

The fourth proportional to 456.96, 685.60 and 168.48 is: 252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 685.60 = 168.48 : x
  2. Step 2: Convert to fraction form
    456.96/685.60 = 168.48/x
  3. Step 3: Cross multiply
    456.96x = 685.60 × 168.48
  4. Step 4: Simplify right side
    456.96x = 115,509.89
  5. Step 5: Solve for x
    x = 115,509.89/456.96
  6. Step 6: Final answer
    x = 252.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.