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Finding the Fourth Proportional to 330.46, 496.31 and 303.37

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Solution

The fourth proportional to 330.46, 496.31 and 303.37 is: 455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.46 : 496.31 = 303.37 : x
  2. Step 2: Convert to fraction form
    330.46/496.31 = 303.37/x
  3. Step 3: Cross multiply
    330.46x = 496.31 × 303.37
  4. Step 4: Simplify right side
    330.46x = 150,562.81
  5. Step 5: Solve for x
    x = 150,562.81/330.46
  6. Step 6: Final answer
    x = 455.62

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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.