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Finding the Fourth Proportional to 481.69, 664.73 and 274.69

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Solution

The fourth proportional to 481.69, 664.73 and 274.69 is: 379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.69 : 664.73 = 274.69 : x
  2. Step 2: Convert to fraction form
    481.69/664.73 = 274.69/x
  3. Step 3: Cross multiply
    481.69x = 664.73 × 274.69
  4. Step 4: Simplify right side
    481.69x = 182,593.71
  5. Step 5: Solve for x
    x = 182,593.71/481.69
  6. Step 6: Final answer
    x = 379.07

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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.