Finding the Fourth Proportional to 214.68, 321.84 and 77.71
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Solution
The fourth proportional to 214.68, 321.84 and 77.71 is: 116.50
Step by Step Solution
- Step 1: Write the proportion equation
214.68 : 321.84 = 77.71 : x - Step 2: Convert to fraction form
214.68/321.84 = 77.71/x - Step 3: Cross multiply
214.68x = 321.84 × 77.71 - Step 4: Simplify right side
214.68x = 25,009.99 - Step 5: Solve for x
x = 25,009.99/214.68 - Step 6: Final answer
x = 116.50
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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.