Finding the Fourth Proportional to 114.24, 170.67 and 106.65
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Solution
The fourth proportional to 114.24, 170.67 and 106.65 is: 159.33
Step by Step Solution
- Step 1: Write the proportion equation
114.24 : 170.67 = 106.65 : x - Step 2: Convert to fraction form
114.24/170.67 = 106.65/x - Step 3: Cross multiply
114.24x = 170.67 × 106.65 - Step 4: Simplify right side
114.24x = 18,202.36 - Step 5: Solve for x
x = 18,202.36/114.24 - Step 6: Final answer
x = 159.33
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.