Finding the Fourth Proportional to 207.99, 312.01 and 77.97
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Solution
The fourth proportional to 207.99, 312.01 and 77.97 is: 116.96
Step by Step Solution
- Step 1: Write the proportion equation
207.99 : 312.01 = 77.97 : x - Step 2: Convert to fraction form
207.99/312.01 = 77.97/x - Step 3: Cross multiply
207.99x = 312.01 × 77.97 - Step 4: Simplify right side
207.99x = 24,327.42 - Step 5: Solve for x
x = 24,327.42/207.99 - Step 6: Final answer
x = 116.96
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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.