Finding the Fourth Proportional to 214.08, 321.07 and 77.13
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Solution
The fourth proportional to 214.08, 321.07 and 77.13 is: 115.68
Step by Step Solution
- Step 1: Write the proportion equation
214.08 : 321.07 = 77.13 : x - Step 2: Convert to fraction form
214.08/321.07 = 77.13/x - Step 3: Cross multiply
214.08x = 321.07 × 77.13 - Step 4: Simplify right side
214.08x = 24,764.13 - Step 5: Solve for x
x = 24,764.13/214.08 - Step 6: Final answer
x = 115.68
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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.