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Finding the Fourth Proportional to 327.88, 492.00 and 173.80

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Solution

The fourth proportional to 327.88, 492.00 and 173.80 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 492.00 = 173.80 : x
  2. Step 2: Convert to fraction form
    327.88/492.00 = 173.80/x
  3. Step 3: Cross multiply
    327.88x = 492.00 × 173.80
  4. Step 4: Simplify right side
    327.88x = 85,510.62
  5. Step 5: Solve for x
    x = 85,510.62/327.88
  6. Step 6: Final answer
    x = 260.80

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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.