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Finding the Fourth Proportional to 254.54, 379.81 and 239.06

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Solution

The fourth proportional to 254.54, 379.81 and 239.06 is: 356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.54 : 379.81 = 239.06 : x
  2. Step 2: Convert to fraction form
    254.54/379.81 = 239.06/x
  3. Step 3: Cross multiply
    254.54x = 379.81 × 239.06
  4. Step 4: Simplify right side
    254.54x = 90,797.38
  5. Step 5: Solve for x
    x = 90,797.38/254.54
  6. Step 6: Final answer
    x = 356.71

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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.