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Finding the Fourth Proportional to 275.95, 381.66 and 271.34

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Solution

The fourth proportional to 275.95, 381.66 and 271.34 is: 375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.95 : 381.66 = 271.34 : x
  2. Step 2: Convert to fraction form
    275.95/381.66 = 271.34/x
  3. Step 3: Cross multiply
    275.95x = 381.66 × 271.34
  4. Step 4: Simplify right side
    275.95x = 103,559.62
  5. Step 5: Solve for x
    x = 103,559.62/275.95
  6. Step 6: Final answer
    x = 375.28

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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.