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Finding the Fourth Proportional to 221.36, 306.05 and 211.46

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Solution

The fourth proportional to 221.36, 306.05 and 211.46 is: 292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.36 : 306.05 = 211.46 : x
  2. Step 2: Convert to fraction form
    221.36/306.05 = 211.46/x
  3. Step 3: Cross multiply
    221.36x = 306.05 × 211.46
  4. Step 4: Simplify right side
    221.36x = 64,714.75
  5. Step 5: Solve for x
    x = 64,714.75/221.36
  6. Step 6: Final answer
    x = 292.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.