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Finding the Fourth Proportional to 221.62, 330.83 and 190.43

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Solution

The fourth proportional to 221.62, 330.83 and 190.43 is: 284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.62 : 330.83 = 190.43 : x
  2. Step 2: Convert to fraction form
    221.62/330.83 = 190.43/x
  3. Step 3: Cross multiply
    221.62x = 330.83 × 190.43
  4. Step 4: Simplify right side
    221.62x = 62,999.83
  5. Step 5: Solve for x
    x = 62,999.83/221.62
  6. Step 6: Final answer
    x = 284.27

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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.