Finding the Fourth Proportional to 177.81, 266.95 and 119.62
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Solution
The fourth proportional to 177.81, 266.95 and 119.62 is: 179.59
Step by Step Solution
- Step 1: Write the proportion equation
177.81 : 266.95 = 119.62 : x - Step 2: Convert to fraction form
177.81/266.95 = 119.62/x - Step 3: Cross multiply
177.81x = 266.95 × 119.62 - Step 4: Simplify right side
177.81x = 31,933.08 - Step 5: Solve for x
x = 31,933.08/177.81 - Step 6: Final answer
x = 179.59
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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.