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Finding the Fourth Proportional to 135.15, 186.28 and 111.79

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Solution

The fourth proportional to 135.15, 186.28 and 111.79 is: 154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.15 : 186.28 = 111.79 : x
  2. Step 2: Convert to fraction form
    135.15/186.28 = 111.79/x
  3. Step 3: Cross multiply
    135.15x = 186.28 × 111.79
  4. Step 4: Simplify right side
    135.15x = 20,824.24
  5. Step 5: Solve for x
    x = 20,824.24/135.15
  6. Step 6: Final answer
    x = 154.08

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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.