Finding the Fourth Proportional to 197.24, 272.08 and 114.32
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Solution
The fourth proportional to 197.24, 272.08 and 114.32 is: 157.70
Step by Step Solution
- Step 1: Write the proportion equation
197.24 : 272.08 = 114.32 : x - Step 2: Convert to fraction form
197.24/272.08 = 114.32/x - Step 3: Cross multiply
197.24x = 272.08 × 114.32 - Step 4: Simplify right side
197.24x = 31,104.19 - Step 5: Solve for x
x = 31,104.19/197.24 - Step 6: Final answer
x = 157.70
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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.