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Finding the Fourth Proportional to 76.96, 115.50 and 36.43

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Solution

The fourth proportional to 76.96, 115.50 and 36.43 is: 54.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 115.50 = 36.43 : x
  2. Step 2: Convert to fraction form
    76.96/115.50 = 36.43/x
  3. Step 3: Cross multiply
    76.96x = 115.50 × 36.43
  4. Step 4: Simplify right side
    76.96x = 4,207.67
  5. Step 5: Solve for x
    x = 4,207.67/76.96
  6. Step 6: Final answer
    x = 54.67

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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.