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Finding the Fourth Proportional to 329.28, 494.24 and 252.69

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Solution

The fourth proportional to 329.28, 494.24 and 252.69 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.28 : 494.24 = 252.69 : x
  2. Step 2: Convert to fraction form
    329.28/494.24 = 252.69/x
  3. Step 3: Cross multiply
    329.28x = 494.24 × 252.69
  4. Step 4: Simplify right side
    329.28x = 124,889.51
  5. Step 5: Solve for x
    x = 124,889.51/329.28
  6. Step 6: Final answer
    x = 379.28

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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.