Finding the Fourth Proportional to 299.26, 448.62 and 106.75
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Solution
The fourth proportional to 299.26, 448.62 and 106.75 is: 160.03
Step by Step Solution
- Step 1: Write the proportion equation
299.26 : 448.62 = 106.75 : x - Step 2: Convert to fraction form
299.26/448.62 = 106.75/x - Step 3: Cross multiply
299.26x = 448.62 × 106.75 - Step 4: Simplify right side
299.26x = 47,890.19 - Step 5: Solve for x
x = 47,890.19/299.26 - Step 6: Final answer
x = 160.03
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.