Finding the Fourth Proportional to 415.96, 624.36 and 199.70
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Solution
The fourth proportional to 415.96, 624.36 and 199.70 is: 299.75
Step by Step Solution
- Step 1: Write the proportion equation
415.96 : 624.36 = 199.70 : x - Step 2: Convert to fraction form
415.96/624.36 = 199.70/x - Step 3: Cross multiply
415.96x = 624.36 × 199.70 - Step 4: Simplify right side
415.96x = 124,684.69 - Step 5: Solve for x
x = 124,684.69/415.96 - Step 6: Final answer
x = 299.75
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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.