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Finding the Fourth Proportional to 489.26, 734.22 and 200.68

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Solution

The fourth proportional to 489.26, 734.22 and 200.68 is: 301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.26 : 734.22 = 200.68 : x
  2. Step 2: Convert to fraction form
    489.26/734.22 = 200.68/x
  3. Step 3: Cross multiply
    489.26x = 734.22 × 200.68
  4. Step 4: Simplify right side
    489.26x = 147,343.27
  5. Step 5: Solve for x
    x = 147,343.27/489.26
  6. Step 6: Final answer
    x = 301.16

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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.