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Finding the Fourth Proportional to 329.76, 494.10 and 271.44

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Solution

The fourth proportional to 329.76, 494.10 and 271.44 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.76 : 494.10 = 271.44 : x
  2. Step 2: Convert to fraction form
    329.76/494.10 = 271.44/x
  3. Step 3: Cross multiply
    329.76x = 494.10 × 271.44
  4. Step 4: Simplify right side
    329.76x = 134,118.50
  5. Step 5: Solve for x
    x = 134,118.50/329.76
  6. Step 6: Final answer
    x = 406.72

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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.