Finding the Fourth Proportional to 275.34, 412.98 and 102
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Solution
The fourth proportional to 275.34, 412.98 and 102 is: 152.99
Step by Step Solution
- Step 1: Write the proportion equation
275.34 : 412.98 = 102 : x - Step 2: Convert to fraction form
275.34/412.98 = 102/x - Step 3: Cross multiply
275.34x = 412.98 × 102 - Step 4: Simplify right side
275.34x = 42,123.96 - Step 5: Solve for x
x = 42,123.96/275.34 - Step 6: Final answer
x = 152.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.