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Finding the Fourth Proportional to 135.69, 186.93 and 111.27

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Solution

The fourth proportional to 135.69, 186.93 and 111.27 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.69 : 186.93 = 111.27 : x
  2. Step 2: Convert to fraction form
    135.69/186.93 = 111.27/x
  3. Step 3: Cross multiply
    135.69x = 186.93 × 111.27
  4. Step 4: Simplify right side
    135.69x = 20,799.70
  5. Step 5: Solve for x
    x = 20,799.70/135.69
  6. Step 6: Final answer
    x = 153.29

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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.