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Finding the Fourth Proportional to 256.35, 352.76 and 245.43

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Solution

The fourth proportional to 256.35, 352.76 and 245.43 is: 337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.35 : 352.76 = 245.43 : x
  2. Step 2: Convert to fraction form
    256.35/352.76 = 245.43/x
  3. Step 3: Cross multiply
    256.35x = 352.76 × 245.43
  4. Step 4: Simplify right side
    256.35x = 86,576.66
  5. Step 5: Solve for x
    x = 86,576.66/256.35
  6. Step 6: Final answer
    x = 337.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.