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Finding the Fourth Proportional to 135.45, 186.72 and 107.78

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Solution

The fourth proportional to 135.45, 186.72 and 107.78 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.45 : 186.72 = 107.78 : x
  2. Step 2: Convert to fraction form
    135.45/186.72 = 107.78/x
  3. Step 3: Cross multiply
    135.45x = 186.72 × 107.78
  4. Step 4: Simplify right side
    135.45x = 20,123.75
  5. Step 5: Solve for x
    x = 20,123.75/135.45
  6. Step 6: Final answer
    x = 148.57

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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.