Finding the Fourth Proportional to 295.74, 408.12 and 197.43
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Solution
The fourth proportional to 295.74, 408.12 and 197.43 is: 272.45
Step by Step Solution
- Step 1: Write the proportion equation
295.74 : 408.12 = 197.43 : x - Step 2: Convert to fraction form
295.74/408.12 = 197.43/x - Step 3: Cross multiply
295.74x = 408.12 × 197.43 - Step 4: Simplify right side
295.74x = 80,575.13 - Step 5: Solve for x
x = 80,575.13/295.74 - Step 6: Final answer
x = 272.45
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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.