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Finding the Fourth Proportional to 275.62, 410.56 and 263.14

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Solution

The fourth proportional to 275.62, 410.56 and 263.14 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.62 : 410.56 = 263.14 : x
  2. Step 2: Convert to fraction form
    275.62/410.56 = 263.14/x
  3. Step 3: Cross multiply
    275.62x = 410.56 × 263.14
  4. Step 4: Simplify right side
    275.62x = 108,033.44
  5. Step 5: Solve for x
    x = 108,033.44/275.62
  6. Step 6: Final answer
    x = 391.97

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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.