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Finding the Fourth Proportional to 76.08, 113.37 and 73.08

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Solution

The fourth proportional to 76.08, 113.37 and 73.08 is: 108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.08 : 113.37 = 73.08 : x
  2. Step 2: Convert to fraction form
    76.08/113.37 = 73.08/x
  3. Step 3: Cross multiply
    76.08x = 113.37 × 73.08
  4. Step 4: Simplify right side
    76.08x = 8,285.08
  5. Step 5: Solve for x
    x = 8,285.08/76.08
  6. Step 6: Final answer
    x = 108.90

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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.