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Finding the Fourth Proportional to 256.46, 379.46 and 255.74

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Solution

The fourth proportional to 256.46, 379.46 and 255.74 is: 378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.46 : 379.46 = 255.74 : x
  2. Step 2: Convert to fraction form
    256.46/379.46 = 255.74/x
  3. Step 3: Cross multiply
    256.46x = 379.46 × 255.74
  4. Step 4: Simplify right side
    256.46x = 97,043.10
  5. Step 5: Solve for x
    x = 97,043.10/256.46
  6. Step 6: Final answer
    x = 378.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.