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Finding the Fourth Proportional to 338.10, 503.06 and 329.73

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Solution

The fourth proportional to 338.10, 503.06 and 329.73 is: 490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 503.06 = 329.73 : x
  2. Step 2: Convert to fraction form
    338.10/503.06 = 329.73/x
  3. Step 3: Cross multiply
    338.10x = 503.06 × 329.73
  4. Step 4: Simplify right side
    338.10x = 165,872.33
  5. Step 5: Solve for x
    x = 165,872.33/338.10
  6. Step 6: Final answer
    x = 490.60

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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.