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Finding the Fourth Proportional to 338.96, 504.82 and 330.44

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Solution

The fourth proportional to 338.96, 504.82 and 330.44 is: 492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 504.82 = 330.44 : x
  2. Step 2: Convert to fraction form
    338.96/504.82 = 330.44/x
  3. Step 3: Cross multiply
    338.96x = 504.82 × 330.44
  4. Step 4: Simplify right side
    338.96x = 166,812.72
  5. Step 5: Solve for x
    x = 166,812.72/338.96
  6. Step 6: Final answer
    x = 492.13

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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.