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Finding the Fourth Proportional to 204.40, 283.39 and 193.46

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Solution

The fourth proportional to 204.40, 283.39 and 193.46 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 283.39 = 193.46 : x
  2. Step 2: Convert to fraction form
    204.40/283.39 = 193.46/x
  3. Step 3: Cross multiply
    204.40x = 283.39 × 193.46
  4. Step 4: Simplify right side
    204.40x = 54,824.63
  5. Step 5: Solve for x
    x = 54,824.63/204.40
  6. Step 6: Final answer
    x = 268.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.