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Finding the Fourth Proportional to 308.56, 425.76 and 205

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Solution

The fourth proportional to 308.56, 425.76 and 205 is: 282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.56 : 425.76 = 205 : x
  2. Step 2: Convert to fraction form
    308.56/425.76 = 205/x
  3. Step 3: Cross multiply
    308.56x = 425.76 × 205
  4. Step 4: Simplify right side
    308.56x = 87,280.80
  5. Step 5: Solve for x
    x = 87,280.80/308.56
  6. Step 6: Final answer
    x = 282.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.