Finding the Fourth Proportional to 177.75, 266.61 and 106.07
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Solution
The fourth proportional to 177.75, 266.61 and 106.07 is: 159.09
Step by Step Solution
- Step 1: Write the proportion equation
177.75 : 266.61 = 106.07 : x - Step 2: Convert to fraction form
177.75/266.61 = 106.07/x - Step 3: Cross multiply
177.75x = 266.61 × 106.07 - Step 4: Simplify right side
177.75x = 28,277.99 - Step 5: Solve for x
x = 28,277.99/177.75 - Step 6: Final answer
x = 159.09
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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.