Finding the Fourth Proportional to 195.05, 269.14 and 107.70
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Solution
The fourth proportional to 195.05, 269.14 and 107.70 is: 148.61
Step by Step Solution
- Step 1: Write the proportion equation
195.05 : 269.14 = 107.70 : x - Step 2: Convert to fraction form
195.05/269.14 = 107.70/x - Step 3: Cross multiply
195.05x = 269.14 × 107.70 - Step 4: Simplify right side
195.05x = 28,985.84 - Step 5: Solve for x
x = 28,985.84/195.05 - Step 6: Final answer
x = 148.61
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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.