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Finding the Fourth Proportional to 327.18, 491.04 and 173.28

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Solution

The fourth proportional to 327.18, 491.04 and 173.28 is: 260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.18 : 491.04 = 173.28 : x
  2. Step 2: Convert to fraction form
    327.18/491.04 = 173.28/x
  3. Step 3: Cross multiply
    327.18x = 491.04 × 173.28
  4. Step 4: Simplify right side
    327.18x = 85,087.41
  5. Step 5: Solve for x
    x = 85,087.41/327.18
  6. Step 6: Final answer
    x = 260.06

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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.