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Finding the Fourth Proportional to 489.19, 733.80 and 200.65

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Solution

The fourth proportional to 489.19, 733.80 and 200.65 is: 300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.19 : 733.80 = 200.65 : x
  2. Step 2: Convert to fraction form
    489.19/733.80 = 200.65/x
  3. Step 3: Cross multiply
    489.19x = 733.80 × 200.65
  4. Step 4: Simplify right side
    489.19x = 147,236.97
  5. Step 5: Solve for x
    x = 147,236.97/489.19
  6. Step 6: Final answer
    x = 300.98

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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.