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Finding the Fourth Proportional to 275.28, 410.92 and 255.24

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Solution

The fourth proportional to 275.28, 410.92 and 255.24 is: 381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.28 : 410.92 = 255.24 : x
  2. Step 2: Convert to fraction form
    275.28/410.92 = 255.24/x
  3. Step 3: Cross multiply
    275.28x = 410.92 × 255.24
  4. Step 4: Simplify right side
    275.28x = 104,883.22
  5. Step 5: Solve for x
    x = 104,883.22/275.28
  6. Step 6: Final answer
    x = 381.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.