Finding the Fourth Proportional to 52.24, 78.40 and 31.98
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Solution
The fourth proportional to 52.24, 78.40 and 31.98 is: 47.99
Step by Step Solution
- Step 1: Write the proportion equation
52.24 : 78.40 = 31.98 : x - Step 2: Convert to fraction form
52.24/78.40 = 31.98/x - Step 3: Cross multiply
52.24x = 78.40 × 31.98 - Step 4: Simplify right side
52.24x = 2,507.23 - Step 5: Solve for x
x = 2,507.23/52.24 - Step 6: Final answer
x = 47.99
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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.