Finding the Fourth Proportional to 286.31, 428.99 and 149.18
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Solution
The fourth proportional to 286.31, 428.99 and 149.18 is: 223.52
Step by Step Solution
- Step 1: Write the proportion equation
286.31 : 428.99 = 149.18 : x - Step 2: Convert to fraction form
286.31/428.99 = 149.18/x - Step 3: Cross multiply
286.31x = 428.99 × 149.18 - Step 4: Simplify right side
286.31x = 63,993.84 - Step 5: Solve for x
x = 63,993.84/286.31 - Step 6: Final answer
x = 223.52
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.