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Finding the Fourth Proportional to 205.14, 281.66 and 185.70

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Solution

The fourth proportional to 205.14, 281.66 and 185.70 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 281.66 = 185.70 : x
  2. Step 2: Convert to fraction form
    205.14/281.66 = 185.70/x
  3. Step 3: Cross multiply
    205.14x = 281.66 × 185.70
  4. Step 4: Simplify right side
    205.14x = 52,303.33
  5. Step 5: Solve for x
    x = 52,303.33/205.14
  6. Step 6: Final answer
    x = 254.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.