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Finding the Fourth Proportional to 254.45, 381.67 and 173.09

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Solution

The fourth proportional to 254.45, 381.67 and 173.09 is: 259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.45 : 381.67 = 173.09 : x
  2. Step 2: Convert to fraction form
    254.45/381.67 = 173.09/x
  3. Step 3: Cross multiply
    254.45x = 381.67 × 173.09
  4. Step 4: Simplify right side
    254.45x = 66,062.74
  5. Step 5: Solve for x
    x = 66,062.74/254.45
  6. Step 6: Final answer
    x = 259.63

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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.