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Finding the Fourth Proportional to 256.12, 381.27 and 254.75

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Solution

The fourth proportional to 256.12, 381.27 and 254.75 is: 379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 381.27 = 254.75 : x
  2. Step 2: Convert to fraction form
    256.12/381.27 = 254.75/x
  3. Step 3: Cross multiply
    256.12x = 381.27 × 254.75
  4. Step 4: Simplify right side
    256.12x = 97,127.58
  5. Step 5: Solve for x
    x = 97,127.58/256.12
  6. Step 6: Final answer
    x = 379.23

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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.