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Finding the Fourth Proportional to 327.38, 491.05 and 275.93

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Solution

The fourth proportional to 327.38, 491.05 and 275.93 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 491.05 = 275.93 : x
  2. Step 2: Convert to fraction form
    327.38/491.05 = 275.93/x
  3. Step 3: Cross multiply
    327.38x = 491.05 × 275.93
  4. Step 4: Simplify right side
    327.38x = 135,494.05
  5. Step 5: Solve for x
    x = 135,494.05/327.38
  6. Step 6: Final answer
    x = 413.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.