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Finding the Fourth Proportional to 278.34, 386.82 and 275.46

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Solution

The fourth proportional to 278.34, 386.82 and 275.46 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 386.82 = 275.46 : x
  2. Step 2: Convert to fraction form
    278.34/386.82 = 275.46/x
  3. Step 3: Cross multiply
    278.34x = 386.82 × 275.46
  4. Step 4: Simplify right side
    278.34x = 106,553.44
  5. Step 5: Solve for x
    x = 106,553.44/278.34
  6. Step 6: Final answer
    x = 382.82

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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.