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Finding the Fourth Proportional to 481.19, 663.71 and 306.45

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Solution

The fourth proportional to 481.19, 663.71 and 306.45 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.19 : 663.71 = 306.45 : x
  2. Step 2: Convert to fraction form
    481.19/663.71 = 306.45/x
  3. Step 3: Cross multiply
    481.19x = 663.71 × 306.45
  4. Step 4: Simplify right side
    481.19x = 203,392.40
  5. Step 5: Solve for x
    x = 203,392.40/481.19
  6. Step 6: Final answer
    x = 422.69

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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.