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Finding the Fourth Proportional to 223.96, 310.38 and 220.54

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Solution

The fourth proportional to 223.96, 310.38 and 220.54 is: 305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.96 : 310.38 = 220.54 : x
  2. Step 2: Convert to fraction form
    223.96/310.38 = 220.54/x
  3. Step 3: Cross multiply
    223.96x = 310.38 × 220.54
  4. Step 4: Simplify right side
    223.96x = 68,451.21
  5. Step 5: Solve for x
    x = 68,451.21/223.96
  6. Step 6: Final answer
    x = 305.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.