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Finding the Fourth Proportional to 275.31, 410.97 and 263.49

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Solution

The fourth proportional to 275.31, 410.97 and 263.49 is: 393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.31 : 410.97 = 263.49 : x
  2. Step 2: Convert to fraction form
    275.31/410.97 = 263.49/x
  3. Step 3: Cross multiply
    275.31x = 410.97 × 263.49
  4. Step 4: Simplify right side
    275.31x = 108,286.49
  5. Step 5: Solve for x
    x = 108,286.49/275.31
  6. Step 6: Final answer
    x = 393.33

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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.