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Finding the Fourth Proportional to 235.63, 325.22 and 161.97

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Solution

The fourth proportional to 235.63, 325.22 and 161.97 is: 223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.63 : 325.22 = 161.97 : x
  2. Step 2: Convert to fraction form
    235.63/325.22 = 161.97/x
  3. Step 3: Cross multiply
    235.63x = 325.22 × 161.97
  4. Step 4: Simplify right side
    235.63x = 52,675.88
  5. Step 5: Solve for x
    x = 52,675.88/235.63
  6. Step 6: Final answer
    x = 223.55

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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.