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Finding the Fourth Proportional to 256.42, 382.44 and 239.42

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Solution

The fourth proportional to 256.42, 382.44 and 239.42 is: 357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 382.44 = 239.42 : x
  2. Step 2: Convert to fraction form
    256.42/382.44 = 239.42/x
  3. Step 3: Cross multiply
    256.42x = 382.44 × 239.42
  4. Step 4: Simplify right side
    256.42x = 91,563.78
  5. Step 5: Solve for x
    x = 91,563.78/256.42
  6. Step 6: Final answer
    x = 357.09

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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.