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Finding the Fourth Proportional to 256.80, 383.44 and 255.56

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Solution

The fourth proportional to 256.80, 383.44 and 255.56 is: 381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.80 : 383.44 = 255.56 : x
  2. Step 2: Convert to fraction form
    256.80/383.44 = 255.56/x
  3. Step 3: Cross multiply
    256.80x = 383.44 × 255.56
  4. Step 4: Simplify right side
    256.80x = 97,991.93
  5. Step 5: Solve for x
    x = 97,991.93/256.80
  6. Step 6: Final answer
    x = 381.59

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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.