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Finding the Fourth Proportional to 275.09, 412.74 and 223.86

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Solution

The fourth proportional to 275.09, 412.74 and 223.86 is: 335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 412.74 = 223.86 : x
  2. Step 2: Convert to fraction form
    275.09/412.74 = 223.86/x
  3. Step 3: Cross multiply
    275.09x = 412.74 × 223.86
  4. Step 4: Simplify right side
    275.09x = 92,394.86
  5. Step 5: Solve for x
    x = 92,394.86/275.09
  6. Step 6: Final answer
    x = 335.87

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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.