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Finding the Fourth Proportional to 327.94, 492.09 and 183.74

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Solution

The fourth proportional to 327.94, 492.09 and 183.74 is: 275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 492.09 = 183.74 : x
  2. Step 2: Convert to fraction form
    327.94/492.09 = 183.74/x
  3. Step 3: Cross multiply
    327.94x = 492.09 × 183.74
  4. Step 4: Simplify right side
    327.94x = 90,416.62
  5. Step 5: Solve for x
    x = 90,416.62/327.94
  6. Step 6: Final answer
    x = 275.71

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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.