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Finding the Fourth Proportional to 902.25, 1,353.38 and 218.25

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Solution

The fourth proportional to 902.25, 1,353.38 and 218.25 is: 327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.25 : 1,353.38 = 218.25 : x
  2. Step 2: Convert to fraction form
    902.25/1,353.38 = 218.25/x
  3. Step 3: Cross multiply
    902.25x = 1,353.38 × 218.25
  4. Step 4: Simplify right side
    902.25x = 295,374.09
  5. Step 5: Solve for x
    x = 295,374.09/902.25
  6. Step 6: Final answer
    x = 327.38

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.