Finding the Fourth Proportional to 117.99, 177.09 and 57.09
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Solution
The fourth proportional to 117.99, 177.09 and 57.09 is: 85.69
Step by Step Solution
- Step 1: Write the proportion equation
117.99 : 177.09 = 57.09 : x - Step 2: Convert to fraction form
117.99/177.09 = 57.09/x - Step 3: Cross multiply
117.99x = 177.09 × 57.09 - Step 4: Simplify right side
117.99x = 10,110.07 - Step 5: Solve for x
x = 10,110.07/117.99 - Step 6: Final answer
x = 85.69
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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.