Finding the Fourth Proportional to 149.11, 223.97 and 119.00
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Solution
The fourth proportional to 149.11, 223.97 and 119.00 is: 178.75
Step by Step Solution
- Step 1: Write the proportion equation
149.11 : 223.97 = 119.00 : x - Step 2: Convert to fraction form
149.11/223.97 = 119.00/x - Step 3: Cross multiply
149.11x = 223.97 × 119.00 - Step 4: Simplify right side
149.11x = 26,652.39 - Step 5: Solve for x
x = 26,652.39/149.11 - Step 6: Final answer
x = 178.75
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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.