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Finding the Fourth Proportional to 221.23, 302.89 and 220.45

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Solution

The fourth proportional to 221.23, 302.89 and 220.45 is: 301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.23 : 302.89 = 220.45 : x
  2. Step 2: Convert to fraction form
    221.23/302.89 = 220.45/x
  3. Step 3: Cross multiply
    221.23x = 302.89 × 220.45
  4. Step 4: Simplify right side
    221.23x = 66,772.75
  5. Step 5: Solve for x
    x = 66,772.75/221.23
  6. Step 6: Final answer
    x = 301.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.