Finding the Fourth Proportional to 178.44, 267.67 and 97.80
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Solution
The fourth proportional to 178.44, 267.67 and 97.80 is: 146.70
Step by Step Solution
- Step 1: Write the proportion equation
178.44 : 267.67 = 97.80 : x - Step 2: Convert to fraction form
178.44/267.67 = 97.80/x - Step 3: Cross multiply
178.44x = 267.67 × 97.80 - Step 4: Simplify right side
178.44x = 26,176.69 - Step 5: Solve for x
x = 26,176.69/178.44 - Step 6: Final answer
x = 146.70
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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.