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Finding the Fourth Proportional to 386.74, 580.49 and 249.88

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Solution

The fourth proportional to 386.74, 580.49 and 249.88 is: 375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 580.49 = 249.88 : x
  2. Step 2: Convert to fraction form
    386.74/580.49 = 249.88/x
  3. Step 3: Cross multiply
    386.74x = 580.49 × 249.88
  4. Step 4: Simplify right side
    386.74x = 145,055.09
  5. Step 5: Solve for x
    x = 145,055.09/386.74
  6. Step 6: Final answer
    x = 375.07

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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.