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Finding the Fourth Proportional to 221.14, 331.06 and 172.90

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Solution

The fourth proportional to 221.14, 331.06 and 172.90 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 331.06 = 172.90 : x
  2. Step 2: Convert to fraction form
    221.14/331.06 = 172.90/x
  3. Step 3: Cross multiply
    221.14x = 331.06 × 172.90
  4. Step 4: Simplify right side
    221.14x = 57,240.27
  5. Step 5: Solve for x
    x = 57,240.27/221.14
  6. Step 6: Final answer
    x = 258.84

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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.