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Finding the Fourth Proportional to 83.45, 115.76 and 77.37

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Solution

The fourth proportional to 83.45, 115.76 and 77.37 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.45 : 115.76 = 77.37 : x
  2. Step 2: Convert to fraction form
    83.45/115.76 = 77.37/x
  3. Step 3: Cross multiply
    83.45x = 115.76 × 77.37
  4. Step 4: Simplify right side
    83.45x = 8,955.96
  5. Step 5: Solve for x
    x = 8,955.96/83.45
  6. Step 6: Final answer
    x = 107.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.