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Finding the Fourth Proportional to 115.46, 173.08 and 76.96

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Solution

The fourth proportional to 115.46, 173.08 and 76.96 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.46 : 173.08 = 76.96 : x
  2. Step 2: Convert to fraction form
    115.46/173.08 = 76.96/x
  3. Step 3: Cross multiply
    115.46x = 173.08 × 76.96
  4. Step 4: Simplify right side
    115.46x = 13,320.24
  5. Step 5: Solve for x
    x = 13,320.24/115.46
  6. Step 6: Final answer
    x = 115.37

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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.