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Finding the Fourth Proportional to 76.46, 113.89 and 73

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Solution

The fourth proportional to 76.46, 113.89 and 73 is: 108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.46 : 113.89 = 73 : x
  2. Step 2: Convert to fraction form
    76.46/113.89 = 73/x
  3. Step 3: Cross multiply
    76.46x = 113.89 × 73
  4. Step 4: Simplify right side
    76.46x = 8,313.97
  5. Step 5: Solve for x
    x = 8,313.97/76.46
  6. Step 6: Final answer
    x = 108.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.