Finding the Fourth Proportional to 197.08, 271.97 and 109.75
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Solution
The fourth proportional to 197.08, 271.97 and 109.75 is: 151.45
Step by Step Solution
- Step 1: Write the proportion equation
197.08 : 271.97 = 109.75 : x - Step 2: Convert to fraction form
197.08/271.97 = 109.75/x - Step 3: Cross multiply
197.08x = 271.97 × 109.75 - Step 4: Simplify right side
197.08x = 29,848.16 - Step 5: Solve for x
x = 29,848.16/197.08 - Step 6: Final answer
x = 151.45
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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.