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Finding the Fourth Proportional to 135.37, 201.94 and 115.21

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Solution

The fourth proportional to 135.37, 201.94 and 115.21 is: 171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.37 : 201.94 = 115.21 : x
  2. Step 2: Convert to fraction form
    135.37/201.94 = 115.21/x
  3. Step 3: Cross multiply
    135.37x = 201.94 × 115.21
  4. Step 4: Simplify right side
    135.37x = 23,265.51
  5. Step 5: Solve for x
    x = 23,265.51/135.37
  6. Step 6: Final answer
    x = 171.87

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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.