Finding the Fourth Proportional to 197.11, 271.99 and 109.78
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Solution
The fourth proportional to 197.11, 271.99 and 109.78 is: 151.48
Step by Step Solution
- Step 1: Write the proportion equation
197.11 : 271.99 = 109.78 : x - Step 2: Convert to fraction form
197.11/271.99 = 109.78/x - Step 3: Cross multiply
197.11x = 271.99 × 109.78 - Step 4: Simplify right side
197.11x = 29,859.06 - Step 5: Solve for x
x = 29,859.06/197.11 - Step 6: Final answer
x = 151.48
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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.