Finding the Fourth Proportional to 208.93, 313.45 and 117.70
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Solution
The fourth proportional to 208.93, 313.45 and 117.70 is: 176.57
Step by Step Solution
- Step 1: Write the proportion equation
208.93 : 313.45 = 117.70 : x - Step 2: Convert to fraction form
208.93/313.45 = 117.70/x - Step 3: Cross multiply
208.93x = 313.45 × 117.70 - Step 4: Simplify right side
208.93x = 36,890.91 - Step 5: Solve for x
x = 36,890.91/208.93 - Step 6: Final answer
x = 176.57
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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.