Finding the Fourth Proportional to 133.23, 183.84 and 77.96
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Solution
The fourth proportional to 133.23, 183.84 and 77.96 is: 107.57
Step by Step Solution
- Step 1: Write the proportion equation
133.23 : 183.84 = 77.96 : x - Step 2: Convert to fraction form
133.23/183.84 = 77.96/x - Step 3: Cross multiply
133.23x = 183.84 × 77.96 - Step 4: Simplify right side
133.23x = 14,332.17 - Step 5: Solve for x
x = 14,332.17/133.23 - Step 6: Final answer
x = 107.57
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.