Finding the Fourth Proportional to 52.82, 72.90 and 30.99
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Solution
The fourth proportional to 52.82, 72.90 and 30.99 is: 42.77
Step by Step Solution
- Step 1: Write the proportion equation
52.82 : 72.90 = 30.99 : x - Step 2: Convert to fraction form
52.82/72.90 = 30.99/x - Step 3: Cross multiply
52.82x = 72.90 × 30.99 - Step 4: Simplify right side
52.82x = 2,258.78 - Step 5: Solve for x
x = 2,258.78/52.82 - Step 6: Final answer
x = 42.77
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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.