Finding the Fourth Proportional to 295.74, 408.14 and 171.44
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Solution
The fourth proportional to 295.74, 408.14 and 171.44 is: 236.60
Step by Step Solution
- Step 1: Write the proportion equation
295.74 : 408.14 = 171.44 : x - Step 2: Convert to fraction form
295.74/408.14 = 171.44/x - Step 3: Cross multiply
295.74x = 408.14 × 171.44 - Step 4: Simplify right side
295.74x = 69,972.97 - Step 5: Solve for x
x = 69,972.97/295.74 - Step 6: Final answer
x = 236.60
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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.