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Finding the Fourth Proportional to 256.45, 382.55 and 227.90

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Solution

The fourth proportional to 256.45, 382.55 and 227.90 is: 339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.45 : 382.55 = 227.90 : x
  2. Step 2: Convert to fraction form
    256.45/382.55 = 227.90/x
  3. Step 3: Cross multiply
    256.45x = 382.55 × 227.90
  4. Step 4: Simplify right side
    256.45x = 87,183.15
  5. Step 5: Solve for x
    x = 87,183.15/256.45
  6. Step 6: Final answer
    x = 339.96

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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.