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Finding the Fourth Proportional to 352.09, 485.82 and 221.28

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Solution

The fourth proportional to 352.09, 485.82 and 221.28 is: 305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.09 : 485.82 = 221.28 : x
  2. Step 2: Convert to fraction form
    352.09/485.82 = 221.28/x
  3. Step 3: Cross multiply
    352.09x = 485.82 × 221.28
  4. Step 4: Simplify right side
    352.09x = 107,502.25
  5. Step 5: Solve for x
    x = 107,502.25/352.09
  6. Step 6: Final answer
    x = 305.33

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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.