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Finding the Fourth Proportional to 489.43, 734.14 and 196.85

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Solution

The fourth proportional to 489.43, 734.14 and 196.85 is: 295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.43 : 734.14 = 196.85 : x
  2. Step 2: Convert to fraction form
    489.43/734.14 = 196.85/x
  3. Step 3: Cross multiply
    489.43x = 734.14 × 196.85
  4. Step 4: Simplify right side
    489.43x = 144,515.46
  5. Step 5: Solve for x
    x = 144,515.46/489.43
  6. Step 6: Final answer
    x = 295.27

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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.