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Finding the Fourth Proportional to 205.76, 308.28 and 151.76

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Solution

The fourth proportional to 205.76, 308.28 and 151.76 is: 227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.76 : 308.28 = 151.76 : x
  2. Step 2: Convert to fraction form
    205.76/308.28 = 151.76/x
  3. Step 3: Cross multiply
    205.76x = 308.28 × 151.76
  4. Step 4: Simplify right side
    205.76x = 46,784.57
  5. Step 5: Solve for x
    x = 46,784.57/205.76
  6. Step 6: Final answer
    x = 227.37

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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.