Finding the Fourth Proportional to 205.99, 308.99 and 114.62
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Solution
The fourth proportional to 205.99, 308.99 and 114.62 is: 171.93
Step by Step Solution
- Step 1: Write the proportion equation
205.99 : 308.99 = 114.62 : x - Step 2: Convert to fraction form
205.99/308.99 = 114.62/x - Step 3: Cross multiply
205.99x = 308.99 × 114.62 - Step 4: Simplify right side
205.99x = 35,416.55 - Step 5: Solve for x
x = 35,416.55/205.99 - Step 6: Final answer
x = 171.93
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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.