Finding the Fourth Proportional to 214.64, 321.70 and 104.99
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Solution
The fourth proportional to 214.64, 321.70 and 104.99 is: 157.35
Step by Step Solution
- Step 1: Write the proportion equation
214.64 : 321.70 = 104.99 : x - Step 2: Convert to fraction form
214.64/321.70 = 104.99/x - Step 3: Cross multiply
214.64x = 321.70 × 104.99 - Step 4: Simplify right side
214.64x = 33,774.22 - Step 5: Solve for x
x = 33,774.22/214.64 - Step 6: Final answer
x = 157.35
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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.