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Finding the Fourth Proportional to 275.82, 382.20 and 272.34

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Solution

The fourth proportional to 275.82, 382.20 and 272.34 is: 377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 382.20 = 272.34 : x
  2. Step 2: Convert to fraction form
    275.82/382.20 = 272.34/x
  3. Step 3: Cross multiply
    275.82x = 382.20 × 272.34
  4. Step 4: Simplify right side
    275.82x = 104,088.35
  5. Step 5: Solve for x
    x = 104,088.35/275.82
  6. Step 6: Final answer
    x = 377.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.