Finding the Fourth Proportional to 207.99, 286.97 and 142.56
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Solution
The fourth proportional to 207.99, 286.97 and 142.56 is: 196.69
Step by Step Solution
- Step 1: Write the proportion equation
207.99 : 286.97 = 142.56 : x - Step 2: Convert to fraction form
207.99/286.97 = 142.56/x - Step 3: Cross multiply
207.99x = 286.97 × 142.56 - Step 4: Simplify right side
207.99x = 40,909.73 - Step 5: Solve for x
x = 40,909.73/207.99 - Step 6: Final answer
x = 196.69
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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.