Finding the Fourth Proportional to 207.92, 286.97 and 148.99
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Solution
The fourth proportional to 207.92, 286.97 and 148.99 is: 205.64
Step by Step Solution
- Step 1: Write the proportion equation
207.92 : 286.97 = 148.99 : x - Step 2: Convert to fraction form
207.92/286.97 = 148.99/x - Step 3: Cross multiply
207.92x = 286.97 × 148.99 - Step 4: Simplify right side
207.92x = 42,755.16 - Step 5: Solve for x
x = 42,755.16/207.92 - Step 6: Final answer
x = 205.64
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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.