Finding the Fourth Proportional to 202.24, 279.09 and 114.91
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Solution
The fourth proportional to 202.24, 279.09 and 114.91 is: 158.57
Step by Step Solution
- Step 1: Write the proportion equation
202.24 : 279.09 = 114.91 : x - Step 2: Convert to fraction form
202.24/279.09 = 114.91/x - Step 3: Cross multiply
202.24x = 279.09 × 114.91 - Step 4: Simplify right side
202.24x = 32,068.26 - Step 5: Solve for x
x = 32,068.26/202.24 - Step 6: Final answer
x = 158.57
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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.