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Finding the Fourth Proportional to 352.58, 486.72 and 221.78

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Solution

The fourth proportional to 352.58, 486.72 and 221.78 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.58 : 486.72 = 221.78 : x
  2. Step 2: Convert to fraction form
    352.58/486.72 = 221.78/x
  3. Step 3: Cross multiply
    352.58x = 486.72 × 221.78
  4. Step 4: Simplify right side
    352.58x = 107,944.76
  5. Step 5: Solve for x
    x = 107,944.76/352.58
  6. Step 6: Final answer
    x = 306.16

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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.