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Finding the Fourth Proportional to 484.90, 727.34 and 196.27

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Solution

The fourth proportional to 484.90, 727.34 and 196.27 is: 294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.90 : 727.34 = 196.27 : x
  2. Step 2: Convert to fraction form
    484.90/727.34 = 196.27/x
  3. Step 3: Cross multiply
    484.90x = 727.34 × 196.27
  4. Step 4: Simplify right side
    484.90x = 142,755.02
  5. Step 5: Solve for x
    x = 142,755.02/484.90
  6. Step 6: Final answer
    x = 294.40

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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.