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Finding the Fourth Proportional to 235.06, 324.23 and 161.42

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Solution

The fourth proportional to 235.06, 324.23 and 161.42 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.06 : 324.23 = 161.42 : x
  2. Step 2: Convert to fraction form
    235.06/324.23 = 161.42/x
  3. Step 3: Cross multiply
    235.06x = 324.23 × 161.42
  4. Step 4: Simplify right side
    235.06x = 52,336.83
  5. Step 5: Solve for x
    x = 52,336.83/235.06
  6. Step 6: Final answer
    x = 222.65

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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.