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Finding the Fourth Proportional to 221.23, 304.64 and 209.21

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Solution

The fourth proportional to 221.23, 304.64 and 209.21 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.23 : 304.64 = 209.21 : x
  2. Step 2: Convert to fraction form
    221.23/304.64 = 209.21/x
  3. Step 3: Cross multiply
    221.23x = 304.64 × 209.21
  4. Step 4: Simplify right side
    221.23x = 63,733.73
  5. Step 5: Solve for x
    x = 63,733.73/221.23
  6. Step 6: Final answer
    x = 288.09

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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.