Finding the Fourth Proportional to 177.41, 266.10 and 96.75
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Solution
The fourth proportional to 177.41, 266.10 and 96.75 is: 145.12
Step by Step Solution
- Step 1: Write the proportion equation
177.41 : 266.10 = 96.75 : x - Step 2: Convert to fraction form
177.41/266.10 = 96.75/x - Step 3: Cross multiply
177.41x = 266.10 × 96.75 - Step 4: Simplify right side
177.41x = 25,745.18 - Step 5: Solve for x
x = 25,745.18/177.41 - Step 6: Final answer
x = 145.12
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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.