Finding the Fourth Proportional to 212.68, 319.16 and 109.99
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Solution
The fourth proportional to 212.68, 319.16 and 109.99 is: 165.06
Step by Step Solution
- Step 1: Write the proportion equation
212.68 : 319.16 = 109.99 : x - Step 2: Convert to fraction form
212.68/319.16 = 109.99/x - Step 3: Cross multiply
212.68x = 319.16 × 109.99 - Step 4: Simplify right side
212.68x = 35,104.41 - Step 5: Solve for x
x = 35,104.41/212.68 - Step 6: Final answer
x = 165.06
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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.