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Finding the Fourth Proportional to 76.96, 115.36 and 46.44

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Solution

The fourth proportional to 76.96, 115.36 and 46.44 is: 69.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 115.36 = 46.44 : x
  2. Step 2: Convert to fraction form
    76.96/115.36 = 46.44/x
  3. Step 3: Cross multiply
    76.96x = 115.36 × 46.44
  4. Step 4: Simplify right side
    76.96x = 5,357.32
  5. Step 5: Solve for x
    x = 5,357.32/76.96
  6. Step 6: Final answer
    x = 69.61

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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.