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Finding the Fourth Proportional to 332.75, 499.31 and 161.75

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Solution

The fourth proportional to 332.75, 499.31 and 161.75 is: 242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.75 : 499.31 = 161.75 : x
  2. Step 2: Convert to fraction form
    332.75/499.31 = 161.75/x
  3. Step 3: Cross multiply
    332.75x = 499.31 × 161.75
  4. Step 4: Simplify right side
    332.75x = 80,763.39
  5. Step 5: Solve for x
    x = 80,763.39/332.75
  6. Step 6: Final answer
    x = 242.71

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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.