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Finding the Fourth Proportional to 331.20, 498.24 and 304.56

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Solution

The fourth proportional to 331.20, 498.24 and 304.56 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 498.24 = 304.56 : x
  2. Step 2: Convert to fraction form
    331.20/498.24 = 304.56/x
  3. Step 3: Cross multiply
    331.20x = 498.24 × 304.56
  4. Step 4: Simplify right side
    331.20x = 151,743.97
  5. Step 5: Solve for x
    x = 151,743.97/331.20
  6. Step 6: Final answer
    x = 458.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.