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Finding the Fourth Proportional to 489.21, 733.62 and 180.96

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Solution

The fourth proportional to 489.21, 733.62 and 180.96 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.21 : 733.62 = 180.96 : x
  2. Step 2: Convert to fraction form
    489.21/733.62 = 180.96/x
  3. Step 3: Cross multiply
    489.21x = 733.62 × 180.96
  4. Step 4: Simplify right side
    489.21x = 132,755.88
  5. Step 5: Solve for x
    x = 132,755.88/489.21
  6. Step 6: Final answer
    x = 271.37

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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.