Finding the Fourth Proportional to 142.68, 214.09 and 84.90
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Solution
The fourth proportional to 142.68, 214.09 and 84.90 is: 127.39
Step by Step Solution
- Step 1: Write the proportion equation
142.68 : 214.09 = 84.90 : x - Step 2: Convert to fraction form
142.68/214.09 = 84.90/x - Step 3: Cross multiply
142.68x = 214.09 × 84.90 - Step 4: Simplify right side
142.68x = 18,176.24 - Step 5: Solve for x
x = 18,176.24/142.68 - Step 6: Final answer
x = 127.39
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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.