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Finding the Fourth Proportional to 74, 110.92 and 37.88

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Solution

The fourth proportional to 74, 110.92 and 37.88 is: 56.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74 : 110.92 = 37.88 : x
  2. Step 2: Convert to fraction form
    74/110.92 = 37.88/x
  3. Step 3: Cross multiply
    74x = 110.92 × 37.88
  4. Step 4: Simplify right side
    74x = 4,201.65
  5. Step 5: Solve for x
    x = 4,201.65/74
  6. Step 6: Final answer
    x = 56.78

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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.