Finding the Fourth Proportional to 189.13, 283.75 and 97.77
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Solution
The fourth proportional to 189.13, 283.75 and 97.77 is: 146.68
Step by Step Solution
- Step 1: Write the proportion equation
189.13 : 283.75 = 97.77 : x - Step 2: Convert to fraction form
189.13/283.75 = 97.77/x - Step 3: Cross multiply
189.13x = 283.75 × 97.77 - Step 4: Simplify right side
189.13x = 27,742.24 - Step 5: Solve for x
x = 27,742.24/189.13 - Step 6: Final answer
x = 146.68
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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.