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Finding the Fourth Proportional to 135.14, 201.62 and 112.46

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Solution

The fourth proportional to 135.14, 201.62 and 112.46 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 201.62 = 112.46 : x
  2. Step 2: Convert to fraction form
    135.14/201.62 = 112.46/x
  3. Step 3: Cross multiply
    135.14x = 201.62 × 112.46
  4. Step 4: Simplify right side
    135.14x = 22,673.46
  5. Step 5: Solve for x
    x = 22,673.46/135.14
  6. Step 6: Final answer
    x = 167.78

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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.