Finding the Fourth Proportional to 32.24, 48.17 and 30.42
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Solution
The fourth proportional to 32.24, 48.17 and 30.42 is: 45.45
Step by Step Solution
- Step 1: Write the proportion equation
32.24 : 48.17 = 30.42 : x - Step 2: Convert to fraction form
32.24/48.17 = 30.42/x - Step 3: Cross multiply
32.24x = 48.17 × 30.42 - Step 4: Simplify right side
32.24x = 1,465.41 - Step 5: Solve for x
x = 1,465.41/32.24 - Step 6: Final answer
x = 45.45
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1.5x scale
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.