Finding the Fourth Proportional to 224.74, 310.47 and 177.96
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Solution
The fourth proportional to 224.74, 310.47 and 177.96 is: 245.85
Step by Step Solution
- Step 1: Write the proportion equation
224.74 : 310.47 = 177.96 : x - Step 2: Convert to fraction form
224.74/310.47 = 177.96/x - Step 3: Cross multiply
224.74x = 310.47 × 177.96 - Step 4: Simplify right side
224.74x = 55,251.24 - Step 5: Solve for x
x = 55,251.24/224.74 - Step 6: Final answer
x = 245.85
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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.