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Finding the Fourth Proportional to 205.30, 306.19 and 185.86

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Solution

The fourth proportional to 205.30, 306.19 and 185.86 is: 277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 306.19 = 185.86 : x
  2. Step 2: Convert to fraction form
    205.30/306.19 = 185.86/x
  3. Step 3: Cross multiply
    205.30x = 306.19 × 185.86
  4. Step 4: Simplify right side
    205.30x = 56,908.47
  5. Step 5: Solve for x
    x = 56,908.47/205.30
  6. Step 6: Final answer
    x = 277.20

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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.