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Finding the Fourth Proportional to 275.84, 382.39 and 261.75

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Solution

The fourth proportional to 275.84, 382.39 and 261.75 is: 362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 382.39 = 261.75 : x
  2. Step 2: Convert to fraction form
    275.84/382.39 = 261.75/x
  3. Step 3: Cross multiply
    275.84x = 382.39 × 261.75
  4. Step 4: Simplify right side
    275.84x = 100,090.58
  5. Step 5: Solve for x
    x = 100,090.58/275.84
  6. Step 6: Final answer
    x = 362.86

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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.