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Finding the Fourth Proportional to 204.45, 281.85 and 165.10

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Solution

The fourth proportional to 204.45, 281.85 and 165.10 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.45 : 281.85 = 165.10 : x
  2. Step 2: Convert to fraction form
    204.45/281.85 = 165.10/x
  3. Step 3: Cross multiply
    204.45x = 281.85 × 165.10
  4. Step 4: Simplify right side
    204.45x = 46,532.64
  5. Step 5: Solve for x
    x = 46,532.64/204.45
  6. Step 6: Final answer
    x = 227.60

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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.