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Finding the Fourth Proportional to 254.52, 383.31 and 231.48

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Solution

The fourth proportional to 254.52, 383.31 and 231.48 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.52 : 383.31 = 231.48 : x
  2. Step 2: Convert to fraction form
    254.52/383.31 = 231.48/x
  3. Step 3: Cross multiply
    254.52x = 383.31 × 231.48
  4. Step 4: Simplify right side
    254.52x = 88,728.60
  5. Step 5: Solve for x
    x = 88,728.60/254.52
  6. Step 6: Final answer
    x = 348.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.