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Finding the Fourth Proportional to 221.78, 307.44 and 214.22

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Solution

The fourth proportional to 221.78, 307.44 and 214.22 is: 296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 307.44 = 214.22 : x
  2. Step 2: Convert to fraction form
    221.78/307.44 = 214.22/x
  3. Step 3: Cross multiply
    221.78x = 307.44 × 214.22
  4. Step 4: Simplify right side
    221.78x = 65,860.57
  5. Step 5: Solve for x
    x = 65,860.57/221.78
  6. Step 6: Final answer
    x = 296.96

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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.