Finding the Fourth Proportional to 204.14, 305.81 and 197.99
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Solution
The fourth proportional to 204.14, 305.81 and 197.99 is: 296.59
Step by Step Solution
- Step 1: Write the proportion equation
204.14 : 305.81 = 197.99 : x - Step 2: Convert to fraction form
204.14/305.81 = 197.99/x - Step 3: Cross multiply
204.14x = 305.81 × 197.99 - Step 4: Simplify right side
204.14x = 60,544.80 - Step 5: Solve for x
x = 60,544.80/204.14 - Step 6: Final answer
x = 296.59
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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.