Finding the Fourth Proportional to 119.25, 178.95 and 47.12
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Solution
The fourth proportional to 119.25, 178.95 and 47.12 is: 70.70
Step by Step Solution
- Step 1: Write the proportion equation
119.25 : 178.95 = 47.12 : x - Step 2: Convert to fraction form
119.25/178.95 = 47.12/x - Step 3: Cross multiply
119.25x = 178.95 × 47.12 - Step 4: Simplify right side
119.25x = 8,431.23 - Step 5: Solve for x
x = 8,431.23/119.25 - Step 6: Final answer
x = 70.70
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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.