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Finding the Fourth Proportional to 350.49, 523.19 and 325.15

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Solution

The fourth proportional to 350.49, 523.19 and 325.15 is: 485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.49 : 523.19 = 325.15 : x
  2. Step 2: Convert to fraction form
    350.49/523.19 = 325.15/x
  3. Step 3: Cross multiply
    350.49x = 523.19 × 325.15
  4. Step 4: Simplify right side
    350.49x = 170,114.73
  5. Step 5: Solve for x
    x = 170,114.73/350.49
  6. Step 6: Final answer
    x = 485.36

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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.