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Finding the Fourth Proportional to 204.73, 304.86 and 194.23

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Solution

The fourth proportional to 204.73, 304.86 and 194.23 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.73 : 304.86 = 194.23 : x
  2. Step 2: Convert to fraction form
    204.73/304.86 = 194.23/x
  3. Step 3: Cross multiply
    204.73x = 304.86 × 194.23
  4. Step 4: Simplify right side
    204.73x = 59,214.07
  5. Step 5: Solve for x
    x = 59,214.07/204.73
  6. Step 6: Final answer
    x = 289.23

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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.