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Finding the Fourth Proportional to 221.07, 333.23 and 209.31

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Solution

The fourth proportional to 221.07, 333.23 and 209.31 is: 315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.07 : 333.23 = 209.31 : x
  2. Step 2: Convert to fraction form
    221.07/333.23 = 209.31/x
  3. Step 3: Cross multiply
    221.07x = 333.23 × 209.31
  4. Step 4: Simplify right side
    221.07x = 69,748.89
  5. Step 5: Solve for x
    x = 69,748.89/221.07
  6. Step 6: Final answer
    x = 315.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.