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Finding the Fourth Proportional to 204.92, 305.57 and 203.09

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Solution

The fourth proportional to 204.92, 305.57 and 203.09 is: 302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 305.57 = 203.09 : x
  2. Step 2: Convert to fraction form
    204.92/305.57 = 203.09/x
  3. Step 3: Cross multiply
    204.92x = 305.57 × 203.09
  4. Step 4: Simplify right side
    204.92x = 62,055.67
  5. Step 5: Solve for x
    x = 62,055.67/204.92
  6. Step 6: Final answer
    x = 302.84

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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.