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Finding the Fourth Proportional to 221.53, 333.96 and 206.67

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Solution

The fourth proportional to 221.53, 333.96 and 206.67 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.53 : 333.96 = 206.67 : x
  2. Step 2: Convert to fraction form
    221.53/333.96 = 206.67/x
  3. Step 3: Cross multiply
    221.53x = 333.96 × 206.67
  4. Step 4: Simplify right side
    221.53x = 69,017.33
  5. Step 5: Solve for x
    x = 69,017.33/221.53
  6. Step 6: Final answer
    x = 311.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.