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Finding the Fourth Proportional to 205.92, 308.97 and 183.15

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Solution

The fourth proportional to 205.92, 308.97 and 183.15 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 308.97 = 183.15 : x
  2. Step 2: Convert to fraction form
    205.92/308.97 = 183.15/x
  3. Step 3: Cross multiply
    205.92x = 308.97 × 183.15
  4. Step 4: Simplify right side
    205.92x = 56,587.86
  5. Step 5: Solve for x
    x = 56,587.86/205.92
  6. Step 6: Final answer
    x = 274.81

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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.