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Finding the Fourth Proportional to 353.04, 486.82 and 221.96

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Solution

The fourth proportional to 353.04, 486.82 and 221.96 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.04 : 486.82 = 221.96 : x
  2. Step 2: Convert to fraction form
    353.04/486.82 = 221.96/x
  3. Step 3: Cross multiply
    353.04x = 486.82 × 221.96
  4. Step 4: Simplify right side
    353.04x = 108,054.57
  5. Step 5: Solve for x
    x = 108,054.57/353.04
  6. Step 6: Final answer
    x = 306.07

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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.