Finding the Fourth Proportional to 133.14, 183.76 and 77.88
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Solution
The fourth proportional to 133.14, 183.76 and 77.88 is: 107.49
Step by Step Solution
- Step 1: Write the proportion equation
133.14 : 183.76 = 77.88 : x - Step 2: Convert to fraction form
133.14/183.76 = 77.88/x - Step 3: Cross multiply
133.14x = 183.76 × 77.88 - Step 4: Simplify right side
133.14x = 14,311.23 - Step 5: Solve for x
x = 14,311.23/133.14 - Step 6: Final answer
x = 107.49
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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.