Finding the Fourth Proportional to 75.08, 112.80 and 53.84
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Solution
The fourth proportional to 75.08, 112.80 and 53.84 is: 80.89
Step by Step Solution
- Step 1: Write the proportion equation
75.08 : 112.80 = 53.84 : x - Step 2: Convert to fraction form
75.08/112.80 = 53.84/x - Step 3: Cross multiply
75.08x = 112.80 × 53.84 - Step 4: Simplify right side
75.08x = 6,073.15 - Step 5: Solve for x
x = 6,073.15/75.08 - Step 6: Final answer
x = 80.89
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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.