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Finding the Fourth Proportional to 263.77, 397.97 and 254.68

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Solution

The fourth proportional to 263.77, 397.97 and 254.68 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.77 : 397.97 = 254.68 : x
  2. Step 2: Convert to fraction form
    263.77/397.97 = 254.68/x
  3. Step 3: Cross multiply
    263.77x = 397.97 × 254.68
  4. Step 4: Simplify right side
    263.77x = 101,355.00
  5. Step 5: Solve for x
    x = 101,355.00/263.77
  6. Step 6: Final answer
    x = 384.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.