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Finding the Fourth Proportional to 327.94, 492.14 and 122.55

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Solution

The fourth proportional to 327.94, 492.14 and 122.55 is: 183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 492.14 = 122.55 : x
  2. Step 2: Convert to fraction form
    327.94/492.14 = 122.55/x
  3. Step 3: Cross multiply
    327.94x = 492.14 × 122.55
  4. Step 4: Simplify right side
    327.94x = 60,311.76
  5. Step 5: Solve for x
    x = 60,311.76/327.94
  6. Step 6: Final answer
    x = 183.91

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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.