Finding the Fourth Proportional to 177.46, 266.26 and 74.70
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Solution
The fourth proportional to 177.46, 266.26 and 74.70 is: 112.08
Step by Step Solution
- Step 1: Write the proportion equation
177.46 : 266.26 = 74.70 : x - Step 2: Convert to fraction form
177.46/266.26 = 74.70/x - Step 3: Cross multiply
177.46x = 266.26 × 74.70 - Step 4: Simplify right side
177.46x = 19,889.62 - Step 5: Solve for x
x = 19,889.62/177.46 - Step 6: Final answer
x = 112.08
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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.