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Finding the Fourth Proportional to 254.28, 352.65 and 238.44

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Solution

The fourth proportional to 254.28, 352.65 and 238.44 is: 330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.28 : 352.65 = 238.44 : x
  2. Step 2: Convert to fraction form
    254.28/352.65 = 238.44/x
  3. Step 3: Cross multiply
    254.28x = 352.65 × 238.44
  4. Step 4: Simplify right side
    254.28x = 84,085.87
  5. Step 5: Solve for x
    x = 84,085.87/254.28
  6. Step 6: Final answer
    x = 330.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.