Finding the Fourth Proportional to 54.46, 81.62 and 24.02
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Solution
The fourth proportional to 54.46, 81.62 and 24.02 is: 35.99
Step by Step Solution
- Step 1: Write the proportion equation
54.46 : 81.62 = 24.02 : x - Step 2: Convert to fraction form
54.46/81.62 = 24.02/x - Step 3: Cross multiply
54.46x = 81.62 × 24.02 - Step 4: Simplify right side
54.46x = 1,960.16 - Step 5: Solve for x
x = 1,960.16/54.46 - Step 6: Final answer
x = 35.99
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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.