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Finding the Fourth Proportional to 254.65, 381.80 and 81.26

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Solution

The fourth proportional to 254.65, 381.80 and 81.26 is: 121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.65 : 381.80 = 81.26 : x
  2. Step 2: Convert to fraction form
    254.65/381.80 = 81.26/x
  3. Step 3: Cross multiply
    254.65x = 381.80 × 81.26
  4. Step 4: Simplify right side
    254.65x = 31,024.66
  5. Step 5: Solve for x
    x = 31,024.66/254.65
  6. Step 6: Final answer
    x = 121.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.