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Finding the Fourth Proportional to 68.34, 102.36 and 37.94

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Solution

The fourth proportional to 68.34, 102.36 and 37.94 is: 56.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 102.36 = 37.94 : x
  2. Step 2: Convert to fraction form
    68.34/102.36 = 37.94/x
  3. Step 3: Cross multiply
    68.34x = 102.36 × 37.94
  4. Step 4: Simplify right side
    68.34x = 3,883.54
  5. Step 5: Solve for x
    x = 3,883.54/68.34
  6. Step 6: Final answer
    x = 56.83

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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.