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Finding the Fourth Proportional to 489.21, 733.31 and 306.73

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Solution

The fourth proportional to 489.21, 733.31 and 306.73 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.21 : 733.31 = 306.73 : x
  2. Step 2: Convert to fraction form
    489.21/733.31 = 306.73/x
  3. Step 3: Cross multiply
    489.21x = 733.31 × 306.73
  4. Step 4: Simplify right side
    489.21x = 224,927.49
  5. Step 5: Solve for x
    x = 224,927.49/489.21
  6. Step 6: Final answer
    x = 459.78

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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.