Finding the Fourth Proportional to 428.19, 590.97 and 310.55
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Solution
The fourth proportional to 428.19, 590.97 and 310.55 is: 428.60
Step by Step Solution
- Step 1: Write the proportion equation
428.19 : 590.97 = 310.55 : x - Step 2: Convert to fraction form
428.19/590.97 = 310.55/x - Step 3: Cross multiply
428.19x = 590.97 × 310.55 - Step 4: Simplify right side
428.19x = 183,524.18 - Step 5: Solve for x
x = 183,524.18/428.19 - Step 6: Final answer
x = 428.60
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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.