Finding the Fourth Proportional to 43.06, 64.68 and 31.09
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Solution
The fourth proportional to 43.06, 64.68 and 31.09 is: 46.70
Step by Step Solution
- Step 1: Write the proportion equation
43.06 : 64.68 = 31.09 : x - Step 2: Convert to fraction form
43.06/64.68 = 31.09/x - Step 3: Cross multiply
43.06x = 64.68 × 31.09 - Step 4: Simplify right side
43.06x = 2,010.90 - Step 5: Solve for x
x = 2,010.90/43.06 - Step 6: Final answer
x = 46.70
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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.