Finding the Fourth Proportional to 281.53, 421.62 and 199.99
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Solution
The fourth proportional to 281.53, 421.62 and 199.99 is: 299.51
Step by Step Solution
- Step 1: Write the proportion equation
281.53 : 421.62 = 199.99 : x - Step 2: Convert to fraction form
281.53/421.62 = 199.99/x - Step 3: Cross multiply
281.53x = 421.62 × 199.99 - Step 4: Simplify right side
281.53x = 84,319.78 - Step 5: Solve for x
x = 84,319.78/281.53 - Step 6: Final answer
x = 299.51
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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.