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Finding the Fourth Proportional to 222.86, 335.58 and 165.49

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Solution

The fourth proportional to 222.86, 335.58 and 165.49 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.86 : 335.58 = 165.49 : x
  2. Step 2: Convert to fraction form
    222.86/335.58 = 165.49/x
  3. Step 3: Cross multiply
    222.86x = 335.58 × 165.49
  4. Step 4: Simplify right side
    222.86x = 55,536.96
  5. Step 5: Solve for x
    x = 55,536.96/222.86
  6. Step 6: Final answer
    x = 249.20

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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.