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Finding the Fourth Proportional to 233.20, 349.88 and 161

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Solution

The fourth proportional to 233.20, 349.88 and 161 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 349.88 = 161 : x
  2. Step 2: Convert to fraction form
    233.20/349.88 = 161/x
  3. Step 3: Cross multiply
    233.20x = 349.88 × 161
  4. Step 4: Simplify right side
    233.20x = 56,330.68
  5. Step 5: Solve for x
    x = 56,330.68/233.20
  6. Step 6: Final answer
    x = 241.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.