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Finding the Fourth Proportional to 222.26, 306.34 and 169.07

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Solution

The fourth proportional to 222.26, 306.34 and 169.07 is: 233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.26 : 306.34 = 169.07 : x
  2. Step 2: Convert to fraction form
    222.26/306.34 = 169.07/x
  3. Step 3: Cross multiply
    222.26x = 306.34 × 169.07
  4. Step 4: Simplify right side
    222.26x = 51,792.90
  5. Step 5: Solve for x
    x = 51,792.90/222.26
  6. Step 6: Final answer
    x = 233.03

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Why These Related Problems?

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