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Finding the Fourth Proportional to 254.88, 381.88 and 182.40

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Solution

The fourth proportional to 254.88, 381.88 and 182.40 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 381.88 = 182.40 : x
  2. Step 2: Convert to fraction form
    254.88/381.88 = 182.40/x
  3. Step 3: Cross multiply
    254.88x = 381.88 × 182.40
  4. Step 4: Simplify right side
    254.88x = 69,654.91
  5. Step 5: Solve for x
    x = 69,654.91/254.88
  6. Step 6: Final answer
    x = 273.29

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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.