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Finding the Fourth Proportional to 325.20, 490.19 and 306.38

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Solution

The fourth proportional to 325.20, 490.19 and 306.38 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.20 : 490.19 = 306.38 : x
  2. Step 2: Convert to fraction form
    325.20/490.19 = 306.38/x
  3. Step 3: Cross multiply
    325.20x = 490.19 × 306.38
  4. Step 4: Simplify right side
    325.20x = 150,182.84
  5. Step 5: Solve for x
    x = 150,182.84/325.20
  6. Step 6: Final answer
    x = 461.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.