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Finding the Fourth Proportional to 221.37, 330.11 and 205.98

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Solution

The fourth proportional to 221.37, 330.11 and 205.98 is: 307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.37 : 330.11 = 205.98 : x
  2. Step 2: Convert to fraction form
    221.37/330.11 = 205.98/x
  3. Step 3: Cross multiply
    221.37x = 330.11 × 205.98
  4. Step 4: Simplify right side
    221.37x = 67,996.06
  5. Step 5: Solve for x
    x = 67,996.06/221.37
  6. Step 6: Final answer
    x = 307.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.