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Finding the Fourth Proportional to 204.98, 305.60 and 185.54

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Solution

The fourth proportional to 204.98, 305.60 and 185.54 is: 276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 305.60 = 185.54 : x
  2. Step 2: Convert to fraction form
    204.98/305.60 = 185.54/x
  3. Step 3: Cross multiply
    204.98x = 305.60 × 185.54
  4. Step 4: Simplify right side
    204.98x = 56,698.57
  5. Step 5: Solve for x
    x = 56,698.57/204.98
  6. Step 6: Final answer
    x = 276.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.