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Finding the Fourth Proportional to 489.14, 733.44 and 200.78

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Solution

The fourth proportional to 489.14, 733.44 and 200.78 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 733.44 = 200.78 : x
  2. Step 2: Convert to fraction form
    489.14/733.44 = 200.78/x
  3. Step 3: Cross multiply
    489.14x = 733.44 × 200.78
  4. Step 4: Simplify right side
    489.14x = 147,260.08
  5. Step 5: Solve for x
    x = 147,260.08/489.14
  6. Step 6: Final answer
    x = 301.06

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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.