Finding the Fourth Proportional to 52.24, 71.70 and 49.54
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Solution
The fourth proportional to 52.24, 71.70 and 49.54 is: 67.99
Step by Step Solution
- Step 1: Write the proportion equation
52.24 : 71.70 = 49.54 : x - Step 2: Convert to fraction form
52.24/71.70 = 49.54/x - Step 3: Cross multiply
52.24x = 71.70 × 49.54 - Step 4: Simplify right side
52.24x = 3,552.02 - Step 5: Solve for x
x = 3,552.02/52.24 - Step 6: Final answer
x = 67.99
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.