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Finding the Fourth Proportional to 221.23, 331.14 and 175.67

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Solution

The fourth proportional to 221.23, 331.14 and 175.67 is: 262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.23 : 331.14 = 175.67 : x
  2. Step 2: Convert to fraction form
    221.23/331.14 = 175.67/x
  3. Step 3: Cross multiply
    221.23x = 331.14 × 175.67
  4. Step 4: Simplify right side
    221.23x = 58,171.36
  5. Step 5: Solve for x
    x = 58,171.36/221.23
  6. Step 6: Final answer
    x = 262.95

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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.