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Finding the Fourth Proportional to 221.24, 330.01 and 206.12

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Solution

The fourth proportional to 221.24, 330.01 and 206.12 is: 307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.24 : 330.01 = 206.12 : x
  2. Step 2: Convert to fraction form
    221.24/330.01 = 206.12/x
  3. Step 3: Cross multiply
    221.24x = 330.01 × 206.12
  4. Step 4: Simplify right side
    221.24x = 68,021.66
  5. Step 5: Solve for x
    x = 68,021.66/221.24
  6. Step 6: Final answer
    x = 307.46

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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.