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Finding the Fourth Proportional to 136.28, 202.96 and 128

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Solution

The fourth proportional to 136.28, 202.96 and 128 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.28 : 202.96 = 128 : x
  2. Step 2: Convert to fraction form
    136.28/202.96 = 128/x
  3. Step 3: Cross multiply
    136.28x = 202.96 × 128
  4. Step 4: Simplify right side
    136.28x = 25,978.88
  5. Step 5: Solve for x
    x = 25,978.88/136.28
  6. Step 6: Final answer
    x = 190.63

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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.