Finding the Fourth Proportional to 119.23, 178.86 and 38.08
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Solution
The fourth proportional to 119.23, 178.86 and 38.08 is: 57.12
Step by Step Solution
- Step 1: Write the proportion equation
119.23 : 178.86 = 38.08 : x - Step 2: Convert to fraction form
119.23/178.86 = 38.08/x - Step 3: Cross multiply
119.23x = 178.86 × 38.08 - Step 4: Simplify right side
119.23x = 6,810.99 - Step 5: Solve for x
x = 6,810.99/119.23 - Step 6: Final answer
x = 57.12
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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.