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Finding the Fourth Proportional to 330.83, 496.61 and 168.47

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Solution

The fourth proportional to 330.83, 496.61 and 168.47 is: 252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.83 : 496.61 = 168.47 : x
  2. Step 2: Convert to fraction form
    330.83/496.61 = 168.47/x
  3. Step 3: Cross multiply
    330.83x = 496.61 × 168.47
  4. Step 4: Simplify right side
    330.83x = 83,660.56
  5. Step 5: Solve for x
    x = 83,660.56/330.83
  6. Step 6: Final answer
    x = 252.88

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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.