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Finding the Fourth Proportional to 254.76, 381.46 and 138.66

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Solution

The fourth proportional to 254.76, 381.46 and 138.66 is: 207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.76 : 381.46 = 138.66 : x
  2. Step 2: Convert to fraction form
    254.76/381.46 = 138.66/x
  3. Step 3: Cross multiply
    254.76x = 381.46 × 138.66
  4. Step 4: Simplify right side
    254.76x = 52,893.24
  5. Step 5: Solve for x
    x = 52,893.24/254.76
  6. Step 6: Final answer
    x = 207.62

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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.