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Finding the Fourth Proportional to 254.28, 379.59 and 231.60

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Solution

The fourth proportional to 254.28, 379.59 and 231.60 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.28 : 379.59 = 231.60 : x
  2. Step 2: Convert to fraction form
    254.28/379.59 = 231.60/x
  3. Step 3: Cross multiply
    254.28x = 379.59 × 231.60
  4. Step 4: Simplify right side
    254.28x = 87,913.04
  5. Step 5: Solve for x
    x = 87,913.04/254.28
  6. Step 6: Final answer
    x = 345.73

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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.