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Finding the Fourth Proportional to 135.14, 201.37 and 128.59

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Solution

The fourth proportional to 135.14, 201.37 and 128.59 is: 191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 201.37 = 128.59 : x
  2. Step 2: Convert to fraction form
    135.14/201.37 = 128.59/x
  3. Step 3: Cross multiply
    135.14x = 201.37 × 128.59
  4. Step 4: Simplify right side
    135.14x = 25,894.58
  5. Step 5: Solve for x
    x = 25,894.58/135.14
  6. Step 6: Final answer
    x = 191.61

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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.