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Finding the Fourth Proportional to 329.24, 493.90 and 166.83

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Solution

The fourth proportional to 329.24, 493.90 and 166.83 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 493.90 = 166.83 : x
  2. Step 2: Convert to fraction form
    329.24/493.90 = 166.83/x
  3. Step 3: Cross multiply
    329.24x = 493.90 × 166.83
  4. Step 4: Simplify right side
    329.24x = 82,397.34
  5. Step 5: Solve for x
    x = 82,397.34/329.24
  6. Step 6: Final answer
    x = 250.27

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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.