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Finding the Fourth Proportional to 350.43, 522.21 and 338.82

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Solution

The fourth proportional to 350.43, 522.21 and 338.82 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.43 : 522.21 = 338.82 : x
  2. Step 2: Convert to fraction form
    350.43/522.21 = 338.82/x
  3. Step 3: Cross multiply
    350.43x = 522.21 × 338.82
  4. Step 4: Simplify right side
    350.43x = 176,935.19
  5. Step 5: Solve for x
    x = 176,935.19/350.43
  6. Step 6: Final answer
    x = 504.91

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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.