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Finding the Fourth Proportional to 327.25, 491.05 and 180.98

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Solution

The fourth proportional to 327.25, 491.05 and 180.98 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.25 : 491.05 = 180.98 : x
  2. Step 2: Convert to fraction form
    327.25/491.05 = 180.98/x
  3. Step 3: Cross multiply
    327.25x = 491.05 × 180.98
  4. Step 4: Simplify right side
    327.25x = 88,867.94
  5. Step 5: Solve for x
    x = 88,867.94/327.25
  6. Step 6: Final answer
    x = 271.56

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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.