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Finding the Fourth Proportional to 338.84, 464.67 and 324.80

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Solution

The fourth proportional to 338.84, 464.67 and 324.80 is: 445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.84 : 464.67 = 324.80 : x
  2. Step 2: Convert to fraction form
    338.84/464.67 = 324.80/x
  3. Step 3: Cross multiply
    338.84x = 464.67 × 324.80
  4. Step 4: Simplify right side
    338.84x = 150,922.49
  5. Step 5: Solve for x
    x = 150,922.49/338.84
  6. Step 6: Final answer
    x = 445.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.