Finding the Fourth Proportional to 414.60, 571.91 and 294.99
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Solution
The fourth proportional to 414.60, 571.91 and 294.99 is: 406.91
Step by Step Solution
- Step 1: Write the proportion equation
414.60 : 571.91 = 294.99 : x - Step 2: Convert to fraction form
414.60/571.91 = 294.99/x - Step 3: Cross multiply
414.60x = 571.91 × 294.99 - Step 4: Simplify right side
414.60x = 168,706.26 - Step 5: Solve for x
x = 168,706.26/414.60 - Step 6: Final answer
x = 406.91
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.