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Finding the Fourth Proportional to 484.98, 727.35 and 192.54

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Solution

The fourth proportional to 484.98, 727.35 and 192.54 is: 288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.98 : 727.35 = 192.54 : x
  2. Step 2: Convert to fraction form
    484.98/727.35 = 192.54/x
  3. Step 3: Cross multiply
    484.98x = 727.35 × 192.54
  4. Step 4: Simplify right side
    484.98x = 140,043.97
  5. Step 5: Solve for x
    x = 140,043.97/484.98
  6. Step 6: Final answer
    x = 288.76

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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.