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Finding the Fourth Proportional to 275.92, 378.44 and 256.48

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Solution

The fourth proportional to 275.92, 378.44 and 256.48 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 378.44 = 256.48 : x
  2. Step 2: Convert to fraction form
    275.92/378.44 = 256.48/x
  3. Step 3: Cross multiply
    275.92x = 378.44 × 256.48
  4. Step 4: Simplify right side
    275.92x = 97,062.29
  5. Step 5: Solve for x
    x = 97,062.29/275.92
  6. Step 6: Final answer
    x = 351.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.