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Finding the Fourth Proportional to 221.09, 331.42 and 187.07

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Solution

The fourth proportional to 221.09, 331.42 and 187.07 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.09 : 331.42 = 187.07 : x
  2. Step 2: Convert to fraction form
    221.09/331.42 = 187.07/x
  3. Step 3: Cross multiply
    221.09x = 331.42 × 187.07
  4. Step 4: Simplify right side
    221.09x = 61,998.74
  5. Step 5: Solve for x
    x = 61,998.74/221.09
  6. Step 6: Final answer
    x = 280.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.