Finding the Fourth Proportional to 214.48, 295.84 and 135.76
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Solution
The fourth proportional to 214.48, 295.84 and 135.76 is: 187.26
Step by Step Solution
- Step 1: Write the proportion equation
214.48 : 295.84 = 135.76 : x - Step 2: Convert to fraction form
214.48/295.84 = 135.76/x - Step 3: Cross multiply
214.48x = 295.84 × 135.76 - Step 4: Simplify right side
214.48x = 40,163.24 - Step 5: Solve for x
x = 40,163.24/214.48 - Step 6: Final answer
x = 187.26
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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.