Finding the Fourth Proportional to 310.70, 428.76 and 179.75
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Solution
The fourth proportional to 310.70, 428.76 and 179.75 is: 248.05
Step by Step Solution
- Step 1: Write the proportion equation
310.70 : 428.76 = 179.75 : x - Step 2: Convert to fraction form
310.70/428.76 = 179.75/x - Step 3: Cross multiply
310.70x = 428.76 × 179.75 - Step 4: Simplify right side
310.70x = 77,070.68 - Step 5: Solve for x
x = 77,070.68/310.70 - Step 6: Final answer
x = 248.05
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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.