Finding the Fourth Proportional to 428.13, 642.24 and 119.99
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Solution
The fourth proportional to 428.13, 642.24 and 119.99 is: 179.99
Step by Step Solution
- Step 1: Write the proportion equation
428.13 : 642.24 = 119.99 : x - Step 2: Convert to fraction form
428.13/642.24 = 119.99/x - Step 3: Cross multiply
428.13x = 642.24 × 119.99 - Step 4: Simplify right side
428.13x = 77,059.17 - Step 5: Solve for x
x = 77,059.17/428.13 - Step 6: Final answer
x = 179.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.