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Finding the Fourth Proportional to 257.22, 383.76 and 231.12

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Solution

The fourth proportional to 257.22, 383.76 and 231.12 is: 344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.22 : 383.76 = 231.12 : x
  2. Step 2: Convert to fraction form
    257.22/383.76 = 231.12/x
  3. Step 3: Cross multiply
    257.22x = 383.76 × 231.12
  4. Step 4: Simplify right side
    257.22x = 88,694.61
  5. Step 5: Solve for x
    x = 88,694.61/257.22
  6. Step 6: Final answer
    x = 344.82

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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.