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Finding the Fourth Proportional to 350.30, 522.91 and 324.97

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Solution

The fourth proportional to 350.30, 522.91 and 324.97 is: 485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.30 : 522.91 = 324.97 : x
  2. Step 2: Convert to fraction form
    350.30/522.91 = 324.97/x
  3. Step 3: Cross multiply
    350.30x = 522.91 × 324.97
  4. Step 4: Simplify right side
    350.30x = 169,930.06
  5. Step 5: Solve for x
    x = 169,930.06/350.30
  6. Step 6: Final answer
    x = 485.10

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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.