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Finding the Fourth Proportional to 77.33, 115.85 and 36.74

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Solution

The fourth proportional to 77.33, 115.85 and 36.74 is: 55.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.33 : 115.85 = 36.74 : x
  2. Step 2: Convert to fraction form
    77.33/115.85 = 36.74/x
  3. Step 3: Cross multiply
    77.33x = 115.85 × 36.74
  4. Step 4: Simplify right side
    77.33x = 4,255.57
  5. Step 5: Solve for x
    x = 4,255.57/77.33
  6. Step 6: Final answer
    x = 55.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.