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Finding the Fourth Proportional to 204.35, 281.68 and 162.83

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Solution

The fourth proportional to 204.35, 281.68 and 162.83 is: 224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.35 : 281.68 = 162.83 : x
  2. Step 2: Convert to fraction form
    204.35/281.68 = 162.83/x
  3. Step 3: Cross multiply
    204.35x = 281.68 × 162.83
  4. Step 4: Simplify right side
    204.35x = 45,866.25
  5. Step 5: Solve for x
    x = 45,866.25/204.35
  6. Step 6: Final answer
    x = 224.45

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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.