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Finding the Fourth Proportional to 204.76, 305.22 and 193.01

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Solution

The fourth proportional to 204.76, 305.22 and 193.01 is: 287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 305.22 = 193.01 : x
  2. Step 2: Convert to fraction form
    204.76/305.22 = 193.01/x
  3. Step 3: Cross multiply
    204.76x = 305.22 × 193.01
  4. Step 4: Simplify right side
    204.76x = 58,909.55
  5. Step 5: Solve for x
    x = 58,909.55/204.76
  6. Step 6: Final answer
    x = 287.71

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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.