Finding the Fourth Proportional to 286.05, 428.61 and 177.63
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Solution
The fourth proportional to 286.05, 428.61 and 177.63 is: 266.16
Step by Step Solution
- Step 1: Write the proportion equation
286.05 : 428.61 = 177.63 : x - Step 2: Convert to fraction form
286.05/428.61 = 177.63/x - Step 3: Cross multiply
286.05x = 428.61 × 177.63 - Step 4: Simplify right side
286.05x = 76,133.99 - Step 5: Solve for x
x = 76,133.99/286.05 - Step 6: Final answer
x = 266.16
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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.