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Finding the Fourth Proportional to 221.34, 331.45 and 187.25

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Solution

The fourth proportional to 221.34, 331.45 and 187.25 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.34 : 331.45 = 187.25 : x
  2. Step 2: Convert to fraction form
    221.34/331.45 = 187.25/x
  3. Step 3: Cross multiply
    221.34x = 331.45 × 187.25
  4. Step 4: Simplify right side
    221.34x = 62,065.21
  5. Step 5: Solve for x
    x = 62,065.21/221.34
  6. Step 6: Final answer
    x = 280.41

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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.