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Finding the Fourth Proportional to 204.23, 307.74 and 194.96

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Solution

The fourth proportional to 204.23, 307.74 and 194.96 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.23 : 307.74 = 194.96 : x
  2. Step 2: Convert to fraction form
    204.23/307.74 = 194.96/x
  3. Step 3: Cross multiply
    204.23x = 307.74 × 194.96
  4. Step 4: Simplify right side
    204.23x = 59,995.45
  5. Step 5: Solve for x
    x = 59,995.45/204.23
  6. Step 6: Final answer
    x = 293.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.