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Finding the Fourth Proportional to 353.36, 486.27 and 326

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Solution

The fourth proportional to 353.36, 486.27 and 326 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.36 : 486.27 = 326 : x
  2. Step 2: Convert to fraction form
    353.36/486.27 = 326/x
  3. Step 3: Cross multiply
    353.36x = 486.27 × 326
  4. Step 4: Simplify right side
    353.36x = 158,524.02
  5. Step 5: Solve for x
    x = 158,524.02/353.36
  6. Step 6: Final answer
    x = 448.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.