Finding the Fourth Proportional to 214.19, 295.39 and 164.99
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Solution
The fourth proportional to 214.19, 295.39 and 164.99 is: 227.53
Step by Step Solution
- Step 1: Write the proportion equation
214.19 : 295.39 = 164.99 : x - Step 2: Convert to fraction form
214.19/295.39 = 164.99/x - Step 3: Cross multiply
214.19x = 295.39 × 164.99 - Step 4: Simplify right side
214.19x = 48,734.09 - Step 5: Solve for x
x = 48,734.09/214.19 - Step 6: Final answer
x = 227.53
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.