Finding the Fourth Proportional to 77.12, 106.26 and 57.68
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Solution
The fourth proportional to 77.12, 106.26 and 57.68 is: 79.47
Step by Step Solution
- Step 1: Write the proportion equation
77.12 : 106.26 = 57.68 : x - Step 2: Convert to fraction form
77.12/106.26 = 57.68/x - Step 3: Cross multiply
77.12x = 106.26 × 57.68 - Step 4: Simplify right side
77.12x = 6,129.08 - Step 5: Solve for x
x = 6,129.08/77.12 - Step 6: Final answer
x = 79.47
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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.