Finding the Fourth Proportional to 197.78, 272.99 and 114.92
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Solution
The fourth proportional to 197.78, 272.99 and 114.92 is: 158.63
Step by Step Solution
- Step 1: Write the proportion equation
197.78 : 272.99 = 114.92 : x - Step 2: Convert to fraction form
197.78/272.99 = 114.92/x - Step 3: Cross multiply
197.78x = 272.99 × 114.92 - Step 4: Simplify right side
197.78x = 31,372.98 - Step 5: Solve for x
x = 31,372.98/197.78 - Step 6: Final answer
x = 158.63
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.