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Finding the Fourth Proportional to 353.76, 486.96 and 327.60

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Solution

The fourth proportional to 353.76, 486.96 and 327.60 is: 450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.76 : 486.96 = 327.60 : x
  2. Step 2: Convert to fraction form
    353.76/486.96 = 327.60/x
  3. Step 3: Cross multiply
    353.76x = 486.96 × 327.60
  4. Step 4: Simplify right side
    353.76x = 159,528.10
  5. Step 5: Solve for x
    x = 159,528.10/353.76
  6. Step 6: Final answer
    x = 450.95

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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.