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Finding the Fourth Proportional to 254.57, 351.31 and 138.14

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Solution

The fourth proportional to 254.57, 351.31 and 138.14 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.57 : 351.31 = 138.14 : x
  2. Step 2: Convert to fraction form
    254.57/351.31 = 138.14/x
  3. Step 3: Cross multiply
    254.57x = 351.31 × 138.14
  4. Step 4: Simplify right side
    254.57x = 48,528.78
  5. Step 5: Solve for x
    x = 48,528.78/254.57
  6. Step 6: Final answer
    x = 190.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.