Finding the Fourth Proportional to 286.24, 428.74 and 177.70
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Solution
The fourth proportional to 286.24, 428.74 and 177.70 is: 266.17
Step by Step Solution
- Step 1: Write the proportion equation
286.24 : 428.74 = 177.70 : x - Step 2: Convert to fraction form
286.24/428.74 = 177.70/x - Step 3: Cross multiply
286.24x = 428.74 × 177.70 - Step 4: Simplify right side
286.24x = 76,187.10 - Step 5: Solve for x
x = 76,187.10/286.24 - Step 6: Final answer
x = 266.17
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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.