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Finding the Fourth Proportional to 329.07, 454.08 and 181.69

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Solution

The fourth proportional to 329.07, 454.08 and 181.69 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.07 : 454.08 = 181.69 : x
  2. Step 2: Convert to fraction form
    329.07/454.08 = 181.69/x
  3. Step 3: Cross multiply
    329.07x = 454.08 × 181.69
  4. Step 4: Simplify right side
    329.07x = 82,501.80
  5. Step 5: Solve for x
    x = 82,501.80/329.07
  6. Step 6: Final answer
    x = 250.71

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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.