Finding the Fourth Proportional to 119.24, 178.84 and 47.09
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Solution
The fourth proportional to 119.24, 178.84 and 47.09 is: 70.63
Step by Step Solution
- Step 1: Write the proportion equation
119.24 : 178.84 = 47.09 : x - Step 2: Convert to fraction form
119.24/178.84 = 47.09/x - Step 3: Cross multiply
119.24x = 178.84 × 47.09 - Step 4: Simplify right side
119.24x = 8,422.08 - Step 5: Solve for x
x = 8,422.08/119.24 - Step 6: Final answer
x = 70.63
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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.