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Finding the Fourth Proportional to 330.68, 496.36 and 329.16

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Solution

The fourth proportional to 330.68, 496.36 and 329.16 is: 494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 496.36 = 329.16 : x
  2. Step 2: Convert to fraction form
    330.68/496.36 = 329.16/x
  3. Step 3: Cross multiply
    330.68x = 496.36 × 329.16
  4. Step 4: Simplify right side
    330.68x = 163,381.86
  5. Step 5: Solve for x
    x = 163,381.86/330.68
  6. Step 6: Final answer
    x = 494.08

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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.