Finding the Fourth Proportional to 115.23, 158.71 and 106.58
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Solution
The fourth proportional to 115.23, 158.71 and 106.58 is: 146.80
Step by Step Solution
- Step 1: Write the proportion equation
115.23 : 158.71 = 106.58 : x - Step 2: Convert to fraction form
115.23/158.71 = 106.58/x - Step 3: Cross multiply
115.23x = 158.71 × 106.58 - Step 4: Simplify right side
115.23x = 16,915.31 - Step 5: Solve for x
x = 16,915.31/115.23 - Step 6: Final answer
x = 146.80
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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.