Finding the Fourth Proportional to 53.48, 73.76 and 34.80
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Solution
The fourth proportional to 53.48, 73.76 and 34.80 is: 47.99
Step by Step Solution
- Step 1: Write the proportion equation
53.48 : 73.76 = 34.80 : x - Step 2: Convert to fraction form
53.48/73.76 = 34.80/x - Step 3: Cross multiply
53.48x = 73.76 × 34.80 - Step 4: Simplify right side
53.48x = 2,566.48 - Step 5: Solve for x
x = 2,566.48/53.48 - Step 6: Final answer
x = 47.99
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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.