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Finding the Fourth Proportional to 204.96, 305.94 and 189.93

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Solution

The fourth proportional to 204.96, 305.94 and 189.93 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 305.94 = 189.93 : x
  2. Step 2: Convert to fraction form
    204.96/305.94 = 189.93/x
  3. Step 3: Cross multiply
    204.96x = 305.94 × 189.93
  4. Step 4: Simplify right side
    204.96x = 58,107.18
  5. Step 5: Solve for x
    x = 58,107.18/204.96
  6. Step 6: Final answer
    x = 283.50

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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.