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Finding the Fourth Proportional to 76.38, 104.62 and 76.20

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Solution

The fourth proportional to 76.38, 104.62 and 76.20 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 104.62 = 76.20 : x
  2. Step 2: Convert to fraction form
    76.38/104.62 = 76.20/x
  3. Step 3: Cross multiply
    76.38x = 104.62 × 76.20
  4. Step 4: Simplify right side
    76.38x = 7,972.04
  5. Step 5: Solve for x
    x = 7,972.04/76.38
  6. Step 6: Final answer
    x = 104.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.