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Finding the Fourth Proportional to 204.87, 305.95 and 194.34

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Solution

The fourth proportional to 204.87, 305.95 and 194.34 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 305.95 = 194.34 : x
  2. Step 2: Convert to fraction form
    204.87/305.95 = 194.34/x
  3. Step 3: Cross multiply
    204.87x = 305.95 × 194.34
  4. Step 4: Simplify right side
    204.87x = 59,458.32
  5. Step 5: Solve for x
    x = 59,458.32/204.87
  6. Step 6: Final answer
    x = 290.22

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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.