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Finding the Fourth Proportional to 256.28, 383.70 and 133.97

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Solution

The fourth proportional to 256.28, 383.70 and 133.97 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.28 : 383.70 = 133.97 : x
  2. Step 2: Convert to fraction form
    256.28/383.70 = 133.97/x
  3. Step 3: Cross multiply
    256.28x = 383.70 × 133.97
  4. Step 4: Simplify right side
    256.28x = 51,404.29
  5. Step 5: Solve for x
    x = 51,404.29/256.28
  6. Step 6: Final answer
    x = 200.58

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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.