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Finding the Fourth Proportional to 353.98, 531.60 and 226.54

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Solution

The fourth proportional to 353.98, 531.60 and 226.54 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.98 : 531.60 = 226.54 : x
  2. Step 2: Convert to fraction form
    353.98/531.60 = 226.54/x
  3. Step 3: Cross multiply
    353.98x = 531.60 × 226.54
  4. Step 4: Simplify right side
    353.98x = 120,428.66
  5. Step 5: Solve for x
    x = 120,428.66/353.98
  6. Step 6: Final answer
    x = 340.21

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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.