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Finding the Fourth Proportional to 204.38, 305.85 and 192.53

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Solution

The fourth proportional to 204.38, 305.85 and 192.53 is: 288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.38 : 305.85 = 192.53 : x
  2. Step 2: Convert to fraction form
    204.38/305.85 = 192.53/x
  3. Step 3: Cross multiply
    204.38x = 305.85 × 192.53
  4. Step 4: Simplify right side
    204.38x = 58,885.30
  5. Step 5: Solve for x
    x = 58,885.30/204.38
  6. Step 6: Final answer
    x = 288.12

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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.