Finding the Fourth Proportional to 211.62, 291.84 and 149.77
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Solution
The fourth proportional to 211.62, 291.84 and 149.77 is: 206.54
Step by Step Solution
- Step 1: Write the proportion equation
211.62 : 291.84 = 149.77 : x - Step 2: Convert to fraction form
211.62/291.84 = 149.77/x - Step 3: Cross multiply
211.62x = 291.84 × 149.77 - Step 4: Simplify right side
211.62x = 43,708.68 - Step 5: Solve for x
x = 43,708.68/211.62 - Step 6: Final answer
x = 206.54
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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.