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Finding the Fourth Proportional to 204.90, 282.38 and 158.42

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Solution

The fourth proportional to 204.90, 282.38 and 158.42 is: 218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 282.38 = 158.42 : x
  2. Step 2: Convert to fraction form
    204.90/282.38 = 158.42/x
  3. Step 3: Cross multiply
    204.90x = 282.38 × 158.42
  4. Step 4: Simplify right side
    204.90x = 44,732.44
  5. Step 5: Solve for x
    x = 44,732.44/204.90
  6. Step 6: Final answer
    x = 218.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.