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Finding the Fourth Proportional to 135.36, 201.60 and 128

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Solution

The fourth proportional to 135.36, 201.60 and 128 is: 190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.36 : 201.60 = 128 : x
  2. Step 2: Convert to fraction form
    135.36/201.60 = 128/x
  3. Step 3: Cross multiply
    135.36x = 201.60 × 128
  4. Step 4: Simplify right side
    135.36x = 25,804.80
  5. Step 5: Solve for x
    x = 25,804.80/135.36
  6. Step 6: Final answer
    x = 190.64

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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.