Finding the Fourth Proportional to 299.12, 412.23 and 293.81
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Solution
The fourth proportional to 299.12, 412.23 and 293.81 is: 404.90
Step by Step Solution
- Step 1: Write the proportion equation
299.12 : 412.23 = 293.81 : x - Step 2: Convert to fraction form
299.12/412.23 = 293.81/x - Step 3: Cross multiply
299.12x = 412.23 × 293.81 - Step 4: Simplify right side
299.12x = 121,115.24 - Step 5: Solve for x
x = 121,115.24/299.12 - Step 6: Final answer
x = 404.90
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.