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Finding the Fourth Proportional to 456.67, 684.93 and 168.04

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Solution

The fourth proportional to 456.67, 684.93 and 168.04 is: 252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.67 : 684.93 = 168.04 : x
  2. Step 2: Convert to fraction form
    456.67/684.93 = 168.04/x
  3. Step 3: Cross multiply
    456.67x = 684.93 × 168.04
  4. Step 4: Simplify right side
    456.67x = 115,092.21
  5. Step 5: Solve for x
    x = 115,092.21/456.67
  6. Step 6: Final answer
    x = 252.03

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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.