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Finding the Fourth Proportional to 489.05, 733.22 and 269.78

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Solution

The fourth proportional to 489.05, 733.22 and 269.78 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.05 : 733.22 = 269.78 : x
  2. Step 2: Convert to fraction form
    489.05/733.22 = 269.78/x
  3. Step 3: Cross multiply
    489.05x = 733.22 × 269.78
  4. Step 4: Simplify right side
    489.05x = 197,803.08
  5. Step 5: Solve for x
    x = 197,803.08/489.05
  6. Step 6: Final answer
    x = 404.46

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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.