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Finding the Fourth Proportional to 352.92, 490.39 and 349.12

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Solution

The fourth proportional to 352.92, 490.39 and 349.12 is: 485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.92 : 490.39 = 349.12 : x
  2. Step 2: Convert to fraction form
    352.92/490.39 = 349.12/x
  3. Step 3: Cross multiply
    352.92x = 490.39 × 349.12
  4. Step 4: Simplify right side
    352.92x = 171,200.76
  5. Step 5: Solve for x
    x = 171,200.76/352.92
  6. Step 6: Final answer
    x = 485.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.