Finding the Fourth Proportional to 72.48, 108.74 and 31.32
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Solution
The fourth proportional to 72.48, 108.74 and 31.32 is: 46.99
Step by Step Solution
- Step 1: Write the proportion equation
72.48 : 108.74 = 31.32 : x - Step 2: Convert to fraction form
72.48/108.74 = 31.32/x - Step 3: Cross multiply
72.48x = 108.74 × 31.32 - Step 4: Simplify right side
72.48x = 3,405.74 - Step 5: Solve for x
x = 3,405.74/72.48 - Step 6: Final answer
x = 46.99
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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.