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Finding the Fourth Proportional to 333.20, 496.90 and 329.60

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Solution

The fourth proportional to 333.20, 496.90 and 329.60 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.20 : 496.90 = 329.60 : x
  2. Step 2: Convert to fraction form
    333.20/496.90 = 329.60/x
  3. Step 3: Cross multiply
    333.20x = 496.90 × 329.60
  4. Step 4: Simplify right side
    333.20x = 163,778.24
  5. Step 5: Solve for x
    x = 163,778.24/333.20
  6. Step 6: Final answer
    x = 491.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.