Finding the Fourth Proportional to 226.92, 313.08 and 149.28
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Solution
The fourth proportional to 226.92, 313.08 and 149.28 is: 205.96
Step by Step Solution
- Step 1: Write the proportion equation
226.92 : 313.08 = 149.28 : x - Step 2: Convert to fraction form
226.92/313.08 = 149.28/x - Step 3: Cross multiply
226.92x = 313.08 × 149.28 - Step 4: Simplify right side
226.92x = 46,736.58 - Step 5: Solve for x
x = 46,736.58/226.92 - Step 6: Final answer
x = 205.96
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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.