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Finding the Fourth Proportional to 76.29, 113.79 and 73.05

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Solution

The fourth proportional to 76.29, 113.79 and 73.05 is: 108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 113.79 = 73.05 : x
  2. Step 2: Convert to fraction form
    76.29/113.79 = 73.05/x
  3. Step 3: Cross multiply
    76.29x = 113.79 × 73.05
  4. Step 4: Simplify right side
    76.29x = 8,312.36
  5. Step 5: Solve for x
    x = 8,312.36/76.29
  6. Step 6: Final answer
    x = 108.96

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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.