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Finding the Fourth Proportional to 338.12, 504.66 and 329.92

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Solution

The fourth proportional to 338.12, 504.66 and 329.92 is: 492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 504.66 = 329.92 : x
  2. Step 2: Convert to fraction form
    338.12/504.66 = 329.92/x
  3. Step 3: Cross multiply
    338.12x = 504.66 × 329.92
  4. Step 4: Simplify right side
    338.12x = 166,497.43
  5. Step 5: Solve for x
    x = 166,497.43/338.12
  6. Step 6: Final answer
    x = 492.42

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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.