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Finding the Fourth Proportional to 74.14, 111.22 and 25.39

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Solution

The fourth proportional to 74.14, 111.22 and 25.39 is: 38.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.14 : 111.22 = 25.39 : x
  2. Step 2: Convert to fraction form
    74.14/111.22 = 25.39/x
  3. Step 3: Cross multiply
    74.14x = 111.22 × 25.39
  4. Step 4: Simplify right side
    74.14x = 2,823.75
  5. Step 5: Solve for x
    x = 2,823.75/74.14
  6. Step 6: Final answer
    x = 38.09

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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.