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Finding the Fourth Proportional to 325.92, 490.82 and 274.89

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Solution

The fourth proportional to 325.92, 490.82 and 274.89 is: 413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 490.82 = 274.89 : x
  2. Step 2: Convert to fraction form
    325.92/490.82 = 274.89/x
  3. Step 3: Cross multiply
    325.92x = 490.82 × 274.89
  4. Step 4: Simplify right side
    325.92x = 134,920.14
  5. Step 5: Solve for x
    x = 134,920.14/325.92
  6. Step 6: Final answer
    x = 413.97

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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.