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Finding the Fourth Proportional to 254.63, 381.89 and 166.75

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Solution

The fourth proportional to 254.63, 381.89 and 166.75 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.63 : 381.89 = 166.75 : x
  2. Step 2: Convert to fraction form
    254.63/381.89 = 166.75/x
  3. Step 3: Cross multiply
    254.63x = 381.89 × 166.75
  4. Step 4: Simplify right side
    254.63x = 63,679.62
  5. Step 5: Solve for x
    x = 63,679.62/254.63
  6. Step 6: Final answer
    x = 250.08

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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.