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Finding the Fourth Proportional to 204.14, 283.04 and 193.20

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Solution

The fourth proportional to 204.14, 283.04 and 193.20 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.14 : 283.04 = 193.20 : x
  2. Step 2: Convert to fraction form
    204.14/283.04 = 193.20/x
  3. Step 3: Cross multiply
    204.14x = 283.04 × 193.20
  4. Step 4: Simplify right side
    204.14x = 54,682.36
  5. Step 5: Solve for x
    x = 54,682.36/204.14
  6. Step 6: Final answer
    x = 267.87

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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.