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Finding the Fourth Proportional to 221.68, 303.77 and 220.24

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Solution

The fourth proportional to 221.68, 303.77 and 220.24 is: 301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.68 : 303.77 = 220.24 : x
  2. Step 2: Convert to fraction form
    221.68/303.77 = 220.24/x
  3. Step 3: Cross multiply
    221.68x = 303.77 × 220.24
  4. Step 4: Simplify right side
    221.68x = 66,902.30
  5. Step 5: Solve for x
    x = 66,902.30/221.68
  6. Step 6: Final answer
    x = 301.80

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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.