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Finding the Fourth Proportional to 379.06, 568.77 and 205.72

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Solution

The fourth proportional to 379.06, 568.77 and 205.72 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.06 : 568.77 = 205.72 : x
  2. Step 2: Convert to fraction form
    379.06/568.77 = 205.72/x
  3. Step 3: Cross multiply
    379.06x = 568.77 × 205.72
  4. Step 4: Simplify right side
    379.06x = 117,007.36
  5. Step 5: Solve for x
    x = 117,007.36/379.06
  6. Step 6: Final answer
    x = 308.68

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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.