Finding the Fourth Proportional to 178.14, 266.99 and 81.75
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Solution
The fourth proportional to 178.14, 266.99 and 81.75 is: 122.52
Step by Step Solution
- Step 1: Write the proportion equation
178.14 : 266.99 = 81.75 : x - Step 2: Convert to fraction form
178.14/266.99 = 81.75/x - Step 3: Cross multiply
178.14x = 266.99 × 81.75 - Step 4: Simplify right side
178.14x = 21,826.02 - Step 5: Solve for x
x = 21,826.02/178.14 - Step 6: Final answer
x = 122.52
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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.