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Finding the Fourth Proportional to 74.08, 111.02 and 25.94

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Solution

The fourth proportional to 74.08, 111.02 and 25.94 is: 38.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 111.02 = 25.94 : x
  2. Step 2: Convert to fraction form
    74.08/111.02 = 25.94/x
  3. Step 3: Cross multiply
    74.08x = 111.02 × 25.94
  4. Step 4: Simplify right side
    74.08x = 2,879.86
  5. Step 5: Solve for x
    x = 2,879.86/74.08
  6. Step 6: Final answer
    x = 38.87

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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.