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Finding the Fourth Proportional to 330.68, 459.21 and 327.48

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Solution

The fourth proportional to 330.68, 459.21 and 327.48 is: 454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 459.21 = 327.48 : x
  2. Step 2: Convert to fraction form
    330.68/459.21 = 327.48/x
  3. Step 3: Cross multiply
    330.68x = 459.21 × 327.48
  4. Step 4: Simplify right side
    330.68x = 150,382.09
  5. Step 5: Solve for x
    x = 150,382.09/330.68
  6. Step 6: Final answer
    x = 454.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.