Finding the Fourth Proportional to 72.24, 108.42 and 53
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Solution
The fourth proportional to 72.24, 108.42 and 53 is: 79.54
Step by Step Solution
- Step 1: Write the proportion equation
72.24 : 108.42 = 53 : x - Step 2: Convert to fraction form
72.24/108.42 = 53/x - Step 3: Cross multiply
72.24x = 108.42 × 53 - Step 4: Simplify right side
72.24x = 5,746.26 - Step 5: Solve for x
x = 5,746.26/72.24 - Step 6: Final answer
x = 79.54
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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.