Finding the Fourth Proportional to 310.74, 428.84 and 177.99
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Solution
The fourth proportional to 310.74, 428.84 and 177.99 is: 245.64
Step by Step Solution
- Step 1: Write the proportion equation
310.74 : 428.84 = 177.99 : x - Step 2: Convert to fraction form
310.74/428.84 = 177.99/x - Step 3: Cross multiply
310.74x = 428.84 × 177.99 - Step 4: Simplify right side
310.74x = 76,329.23 - Step 5: Solve for x
x = 76,329.23/310.74 - Step 6: Final answer
x = 245.64
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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.