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Finding the Fourth Proportional to 902.53, 1,353.76 and 226.33

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Solution

The fourth proportional to 902.53, 1,353.76 and 226.33 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.53 : 1,353.76 = 226.33 : x
  2. Step 2: Convert to fraction form
    902.53/1,353.76 = 226.33/x
  3. Step 3: Cross multiply
    902.53x = 1,353.76 × 226.33
  4. Step 4: Simplify right side
    902.53x = 306,393.82
  5. Step 5: Solve for x
    x = 306,393.82/902.53
  6. Step 6: Final answer
    x = 339.48

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Double scale
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1.5x scale

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.