Finding the Fourth Proportional to 177.84, 266.84 and 81.68
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Solution
The fourth proportional to 177.84, 266.84 and 81.68 is: 122.56
Step by Step Solution
- Step 1: Write the proportion equation
177.84 : 266.84 = 81.68 : x - Step 2: Convert to fraction form
177.84/266.84 = 81.68/x - Step 3: Cross multiply
177.84x = 266.84 × 81.68 - Step 4: Simplify right side
177.84x = 21,795.49 - Step 5: Solve for x
x = 21,795.49/177.84 - Step 6: Final answer
x = 122.56
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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.