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Finding the Fourth Proportional to 379.67, 523.86 and 222.26

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Solution

The fourth proportional to 379.67, 523.86 and 222.26 is: 306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.67 : 523.86 = 222.26 : x
  2. Step 2: Convert to fraction form
    379.67/523.86 = 222.26/x
  3. Step 3: Cross multiply
    379.67x = 523.86 × 222.26
  4. Step 4: Simplify right side
    379.67x = 116,430.50
  5. Step 5: Solve for x
    x = 116,430.50/379.67
  6. Step 6: Final answer
    x = 306.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.