Finding the Fourth Proportional to 214.24, 295.80 and 170.68
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Solution
The fourth proportional to 214.24, 295.80 and 170.68 is: 235.66
Step by Step Solution
- Step 1: Write the proportion equation
214.24 : 295.80 = 170.68 : x - Step 2: Convert to fraction form
214.24/295.80 = 170.68/x - Step 3: Cross multiply
214.24x = 295.80 × 170.68 - Step 4: Simplify right side
214.24x = 50,487.14 - Step 5: Solve for x
x = 50,487.14/214.24 - Step 6: Final answer
x = 235.66
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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.