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Finding the Fourth Proportional to 204.76, 305.69 and 179.32

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Solution

The fourth proportional to 204.76, 305.69 and 179.32 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 305.69 = 179.32 : x
  2. Step 2: Convert to fraction form
    204.76/305.69 = 179.32/x
  3. Step 3: Cross multiply
    204.76x = 305.69 × 179.32
  4. Step 4: Simplify right side
    204.76x = 54,816.33
  5. Step 5: Solve for x
    x = 54,816.33/204.76
  6. Step 6: Final answer
    x = 267.71

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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.