Finding the Fourth Proportional to 53.02, 73.16 and 29.70
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Solution
The fourth proportional to 53.02, 73.16 and 29.70 is: 40.99
Step by Step Solution
- Step 1: Write the proportion equation
53.02 : 73.16 = 29.70 : x - Step 2: Convert to fraction form
53.02/73.16 = 29.70/x - Step 3: Cross multiply
53.02x = 73.16 × 29.70 - Step 4: Simplify right side
53.02x = 2,172.89 - Step 5: Solve for x
x = 2,172.89/53.02 - Step 6: Final answer
x = 40.99
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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.