Finding the Fourth Proportional to 122.70, 184.14 and 118.92
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Solution
The fourth proportional to 122.70, 184.14 and 118.92 is: 178.47
Step by Step Solution
- Step 1: Write the proportion equation
122.70 : 184.14 = 118.92 : x - Step 2: Convert to fraction form
122.70/184.14 = 118.92/x - Step 3: Cross multiply
122.70x = 184.14 × 118.92 - Step 4: Simplify right side
122.70x = 21,897.93 - Step 5: Solve for x
x = 21,897.93/122.70 - Step 6: Final answer
x = 178.47
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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.