Finding the Fourth Proportional to 177.18, 266.19 and 105.09
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Solution
The fourth proportional to 177.18, 266.19 and 105.09 is: 157.88
Step by Step Solution
- Step 1: Write the proportion equation
177.18 : 266.19 = 105.09 : x - Step 2: Convert to fraction form
177.18/266.19 = 105.09/x - Step 3: Cross multiply
177.18x = 266.19 × 105.09 - Step 4: Simplify right side
177.18x = 27,973.91 - Step 5: Solve for x
x = 27,973.91/177.18 - Step 6: Final answer
x = 157.88
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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.