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Finding the Fourth Proportional to 256.24, 351.76 and 231.64

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Solution

The fourth proportional to 256.24, 351.76 and 231.64 is: 317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 351.76 = 231.64 : x
  2. Step 2: Convert to fraction form
    256.24/351.76 = 231.64/x
  3. Step 3: Cross multiply
    256.24x = 351.76 × 231.64
  4. Step 4: Simplify right side
    256.24x = 81,481.69
  5. Step 5: Solve for x
    x = 81,481.69/256.24
  6. Step 6: Final answer
    x = 317.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.