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Finding the Fourth Proportional to 254.75, 380.14 and 227.48

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Solution

The fourth proportional to 254.75, 380.14 and 227.48 is: 339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 380.14 = 227.48 : x
  2. Step 2: Convert to fraction form
    254.75/380.14 = 227.48/x
  3. Step 3: Cross multiply
    254.75x = 380.14 × 227.48
  4. Step 4: Simplify right side
    254.75x = 86,474.25
  5. Step 5: Solve for x
    x = 86,474.25/254.75
  6. Step 6: Final answer
    x = 339.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.