Finding the Fourth Proportional to 414.09, 619.79 and 306.09
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Solution
The fourth proportional to 414.09, 619.79 and 306.09 is: 458.14
Step by Step Solution
- Step 1: Write the proportion equation
414.09 : 619.79 = 306.09 : x - Step 2: Convert to fraction form
414.09/619.79 = 306.09/x - Step 3: Cross multiply
414.09x = 619.79 × 306.09 - Step 4: Simplify right side
414.09x = 189,709.99 - Step 5: Solve for x
x = 189,709.99/414.09 - Step 6: Final answer
x = 458.14
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.