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Finding the Fourth Proportional to 222.44, 334.96 and 165.07

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Solution

The fourth proportional to 222.44, 334.96 and 165.07 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.44 : 334.96 = 165.07 : x
  2. Step 2: Convert to fraction form
    222.44/334.96 = 165.07/x
  3. Step 3: Cross multiply
    222.44x = 334.96 × 165.07
  4. Step 4: Simplify right side
    222.44x = 55,291.85
  5. Step 5: Solve for x
    x = 55,291.85/222.44
  6. Step 6: Final answer
    x = 248.57

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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.