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Finding the Fourth Proportional to 352.34, 486.16 and 221.52

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Solution

The fourth proportional to 352.34, 486.16 and 221.52 is: 305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.34 : 486.16 = 221.52 : x
  2. Step 2: Convert to fraction form
    352.34/486.16 = 221.52/x
  3. Step 3: Cross multiply
    352.34x = 486.16 × 221.52
  4. Step 4: Simplify right side
    352.34x = 107,694.16
  5. Step 5: Solve for x
    x = 107,694.16/352.34
  6. Step 6: Final answer
    x = 305.65

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