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Finding the Fourth Proportional to 76.82, 105.94 and 58.36

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Solution

The fourth proportional to 76.82, 105.94 and 58.36 is: 80.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 105.94 = 58.36 : x
  2. Step 2: Convert to fraction form
    76.82/105.94 = 58.36/x
  3. Step 3: Cross multiply
    76.82x = 105.94 × 58.36
  4. Step 4: Simplify right side
    76.82x = 6,182.66
  5. Step 5: Solve for x
    x = 6,182.66/76.82
  6. Step 6: Final answer
    x = 80.48

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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.