Finding the Fourth Proportional to 204.63, 306.99 and 96.42
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Solution
The fourth proportional to 204.63, 306.99 and 96.42 is: 144.65
Step by Step Solution
- Step 1: Write the proportion equation
204.63 : 306.99 = 96.42 : x - Step 2: Convert to fraction form
204.63/306.99 = 96.42/x - Step 3: Cross multiply
204.63x = 306.99 × 96.42 - Step 4: Simplify right side
204.63x = 29,599.98 - Step 5: Solve for x
x = 29,599.98/204.63 - Step 6: Final answer
x = 144.65
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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.