Finding the Fourth Proportional to 109.03, 162.58 and 105.09
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Solution
The fourth proportional to 109.03, 162.58 and 105.09 is: 156.70
Step by Step Solution
- Step 1: Write the proportion equation
109.03 : 162.58 = 105.09 : x - Step 2: Convert to fraction form
109.03/162.58 = 105.09/x - Step 3: Cross multiply
109.03x = 162.58 × 105.09 - Step 4: Simplify right side
109.03x = 17,085.53 - Step 5: Solve for x
x = 17,085.53/109.03 - Step 6: Final answer
x = 156.70
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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.