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Finding the Fourth Proportional to 205.08, 281.34 and 183.24

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Solution

The fourth proportional to 205.08, 281.34 and 183.24 is: 251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 281.34 = 183.24 : x
  2. Step 2: Convert to fraction form
    205.08/281.34 = 183.24/x
  3. Step 3: Cross multiply
    205.08x = 281.34 × 183.24
  4. Step 4: Simplify right side
    205.08x = 51,552.74
  5. Step 5: Solve for x
    x = 51,552.74/205.08
  6. Step 6: Final answer
    x = 251.38

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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.