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Finding the Fourth Proportional to 256.43, 385.57 and 236.39

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Solution

The fourth proportional to 256.43, 385.57 and 236.39 is: 355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.43 : 385.57 = 236.39 : x
  2. Step 2: Convert to fraction form
    256.43/385.57 = 236.39/x
  3. Step 3: Cross multiply
    256.43x = 385.57 × 236.39
  4. Step 4: Simplify right side
    256.43x = 91,144.89
  5. Step 5: Solve for x
    x = 91,144.89/256.43
  6. Step 6: Final answer
    x = 355.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.