Finding the Fourth Proportional to 53.29, 73.64 and 47.76
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Solution
The fourth proportional to 53.29, 73.64 and 47.76 is: 65.99
Step by Step Solution
- Step 1: Write the proportion equation
53.29 : 73.64 = 47.76 : x - Step 2: Convert to fraction form
53.29/73.64 = 47.76/x - Step 3: Cross multiply
53.29x = 73.64 × 47.76 - Step 4: Simplify right side
53.29x = 3,516.89 - Step 5: Solve for x
x = 3,516.89/53.29 - Step 6: Final answer
x = 65.99
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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.