Finding the Fourth Proportional to 174.05, 260.97 and 71.28
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Solution
The fourth proportional to 174.05, 260.97 and 71.28 is: 106.88
Step by Step Solution
- Step 1: Write the proportion equation
174.05 : 260.97 = 71.28 : x - Step 2: Convert to fraction form
174.05/260.97 = 71.28/x - Step 3: Cross multiply
174.05x = 260.97 × 71.28 - Step 4: Simplify right side
174.05x = 18,602.08 - Step 5: Solve for x
x = 18,602.08/174.05 - Step 6: Final answer
x = 106.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.