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Finding the Fourth Proportional to 329.16, 494.04 and 261.42

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Solution

The fourth proportional to 329.16, 494.04 and 261.42 is: 392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.16 : 494.04 = 261.42 : x
  2. Step 2: Convert to fraction form
    329.16/494.04 = 261.42/x
  3. Step 3: Cross multiply
    329.16x = 494.04 × 261.42
  4. Step 4: Simplify right side
    329.16x = 129,151.94
  5. Step 5: Solve for x
    x = 129,151.94/329.16
  6. Step 6: Final answer
    x = 392.37

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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.