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Finding the Fourth Proportional to 327.72, 491.55 and 111.29

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Solution

The fourth proportional to 327.72, 491.55 and 111.29 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.72 : 491.55 = 111.29 : x
  2. Step 2: Convert to fraction form
    327.72/491.55 = 111.29/x
  3. Step 3: Cross multiply
    327.72x = 491.55 × 111.29
  4. Step 4: Simplify right side
    327.72x = 54,702.14
  5. Step 5: Solve for x
    x = 54,702.14/327.72
  6. Step 6: Final answer
    x = 166.92

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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.