Finding the Fourth Proportional to 455.76, 683.62 and 199.26
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Solution
The fourth proportional to 455.76, 683.62 and 199.26 is: 298.88
Step by Step Solution
- Step 1: Write the proportion equation
455.76 : 683.62 = 199.26 : x - Step 2: Convert to fraction form
455.76/683.62 = 199.26/x - Step 3: Cross multiply
455.76x = 683.62 × 199.26 - Step 4: Simplify right side
455.76x = 136,218.12 - Step 5: Solve for x
x = 136,218.12/455.76 - Step 6: Final answer
x = 298.88
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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.