Finding the Fourth Proportional to 212.99, 319.08 and 199.22
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Solution
The fourth proportional to 212.99, 319.08 and 199.22 is: 298.45
Step by Step Solution
- Step 1: Write the proportion equation
212.99 : 319.08 = 199.22 : x - Step 2: Convert to fraction form
212.99/319.08 = 199.22/x - Step 3: Cross multiply
212.99x = 319.08 × 199.22 - Step 4: Simplify right side
212.99x = 63,567.12 - Step 5: Solve for x
x = 63,567.12/212.99 - Step 6: Final answer
x = 298.45
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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.