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Finding the Fourth Proportional to 254.10, 382.53 and 231.42

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Solution

The fourth proportional to 254.10, 382.53 and 231.42 is: 348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 382.53 = 231.42 : x
  2. Step 2: Convert to fraction form
    254.10/382.53 = 231.42/x
  3. Step 3: Cross multiply
    254.10x = 382.53 × 231.42
  4. Step 4: Simplify right side
    254.10x = 88,525.09
  5. Step 5: Solve for x
    x = 88,525.09/254.10
  6. Step 6: Final answer
    x = 348.39

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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.