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Finding the Fourth Proportional to 327.93, 491.87 and 165.49

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Solution

The fourth proportional to 327.93, 491.87 and 165.49 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.93 : 491.87 = 165.49 : x
  2. Step 2: Convert to fraction form
    327.93/491.87 = 165.49/x
  3. Step 3: Cross multiply
    327.93x = 491.87 × 165.49
  4. Step 4: Simplify right side
    327.93x = 81,396.28
  5. Step 5: Solve for x
    x = 81,396.28/327.93
  6. Step 6: Final answer
    x = 248.21

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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.