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Finding the Fourth Proportional to 338.62, 504.97 and 326.47

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Solution

The fourth proportional to 338.62, 504.97 and 326.47 is: 486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.62 : 504.97 = 326.47 : x
  2. Step 2: Convert to fraction form
    338.62/504.97 = 326.47/x
  3. Step 3: Cross multiply
    338.62x = 504.97 × 326.47
  4. Step 4: Simplify right side
    338.62x = 164,857.56
  5. Step 5: Solve for x
    x = 164,857.56/338.62
  6. Step 6: Final answer
    x = 486.85

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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.