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Finding the Fourth Proportional to 204.08, 281.16 and 155

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Solution

The fourth proportional to 204.08, 281.16 and 155 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 281.16 = 155 : x
  2. Step 2: Convert to fraction form
    204.08/281.16 = 155/x
  3. Step 3: Cross multiply
    204.08x = 281.16 × 155
  4. Step 4: Simplify right side
    204.08x = 43,579.80
  5. Step 5: Solve for x
    x = 43,579.80/204.08
  6. Step 6: Final answer
    x = 213.54

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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.