Finding the Fourth Proportional to 119.56, 178.89 and 70.84
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Solution
The fourth proportional to 119.56, 178.89 and 70.84 is: 105.99
Step by Step Solution
- Step 1: Write the proportion equation
119.56 : 178.89 = 70.84 : x - Step 2: Convert to fraction form
119.56/178.89 = 70.84/x - Step 3: Cross multiply
119.56x = 178.89 × 70.84 - Step 4: Simplify right side
119.56x = 12,671.52 - Step 5: Solve for x
x = 12,671.52/119.56 - Step 6: Final answer
x = 105.99
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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.