Finding the Fourth Proportional to 177.84, 266.97 and 105.75
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Solution
The fourth proportional to 177.84, 266.97 and 105.75 is: 158.75
Step by Step Solution
- Step 1: Write the proportion equation
177.84 : 266.97 = 105.75 : x - Step 2: Convert to fraction form
177.84/266.97 = 105.75/x - Step 3: Cross multiply
177.84x = 266.97 × 105.75 - Step 4: Simplify right side
177.84x = 28,232.08 - Step 5: Solve for x
x = 28,232.08/177.84 - Step 6: Final answer
x = 158.75
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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.