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Finding the Fourth Proportional to 352.34, 486.26 and 221.34

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Solution

The fourth proportional to 352.34, 486.26 and 221.34 is: 305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.34 : 486.26 = 221.34 : x
  2. Step 2: Convert to fraction form
    352.34/486.26 = 221.34/x
  3. Step 3: Cross multiply
    352.34x = 486.26 × 221.34
  4. Step 4: Simplify right side
    352.34x = 107,630.34
  5. Step 5: Solve for x
    x = 107,630.34/352.34
  6. Step 6: Final answer
    x = 305.47

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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.