Finding the Fourth Proportional to 76.35, 105.21 and 57.99
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Solution
The fourth proportional to 76.35, 105.21 and 57.99 is: 79.91
Step by Step Solution
- Step 1: Write the proportion equation
76.35 : 105.21 = 57.99 : x - Step 2: Convert to fraction form
76.35/105.21 = 57.99/x - Step 3: Cross multiply
76.35x = 105.21 × 57.99 - Step 4: Simplify right side
76.35x = 6,101.13 - Step 5: Solve for x
x = 6,101.13/76.35 - Step 6: Final answer
x = 79.91
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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.