Finding the Fourth Proportional to 171.99, 258.05 and 107.06
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Solution
The fourth proportional to 171.99, 258.05 and 107.06 is: 160.62
Step by Step Solution
- Step 1: Write the proportion equation
171.99 : 258.05 = 107.06 : x - Step 2: Convert to fraction form
171.99/258.05 = 107.06/x - Step 3: Cross multiply
171.99x = 258.05 × 107.06 - Step 4: Simplify right side
171.99x = 27,625.81 - Step 5: Solve for x
x = 27,625.81/171.99 - Step 6: Final answer
x = 160.62
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.