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Finding the Fourth Proportional to 135.34, 186.89 and 112.11

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Solution

The fourth proportional to 135.34, 186.89 and 112.11 is: 154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 186.89 = 112.11 : x
  2. Step 2: Convert to fraction form
    135.34/186.89 = 112.11/x
  3. Step 3: Cross multiply
    135.34x = 186.89 × 112.11
  4. Step 4: Simplify right side
    135.34x = 20,952.24
  5. Step 5: Solve for x
    x = 20,952.24/135.34
  6. Step 6: Final answer
    x = 154.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.