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Finding the Fourth Proportional to 481.16, 663.90 and 306.20

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Solution

The fourth proportional to 481.16, 663.90 and 306.20 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.16 : 663.90 = 306.20 : x
  2. Step 2: Convert to fraction form
    481.16/663.90 = 306.20/x
  3. Step 3: Cross multiply
    481.16x = 663.90 × 306.20
  4. Step 4: Simplify right side
    481.16x = 203,286.18
  5. Step 5: Solve for x
    x = 203,286.18/481.16
  6. Step 6: Final answer
    x = 422.49

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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.