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Finding the Fourth Proportional to 222.95, 335.72 and 165.57

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Solution

The fourth proportional to 222.95, 335.72 and 165.57 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.95 : 335.72 = 165.57 : x
  2. Step 2: Convert to fraction form
    222.95/335.72 = 165.57/x
  3. Step 3: Cross multiply
    222.95x = 335.72 × 165.57
  4. Step 4: Simplify right side
    222.95x = 55,584.33
  5. Step 5: Solve for x
    x = 55,584.33/222.95
  6. Step 6: Final answer
    x = 249.32

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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.