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Finding the Fourth Proportional to 51.14, 76.57 and 35.85

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Solution

The fourth proportional to 51.14, 76.57 and 35.85 is: 53.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.14 : 76.57 = 35.85 : x
  2. Step 2: Convert to fraction form
    51.14/76.57 = 35.85/x
  3. Step 3: Cross multiply
    51.14x = 76.57 × 35.85
  4. Step 4: Simplify right side
    51.14x = 2,745.37
  5. Step 5: Solve for x
    x = 2,745.37/51.14
  6. Step 6: Final answer
    x = 53.68

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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.