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Finding the Fourth Proportional to 26.90, 40.48 and 25.28

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Solution

The fourth proportional to 26.90, 40.48 and 25.28 is: 38.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.90 : 40.48 = 25.28 : x
  2. Step 2: Convert to fraction form
    26.90/40.48 = 25.28/x
  3. Step 3: Cross multiply
    26.90x = 40.48 × 25.28
  4. Step 4: Simplify right side
    26.90x = 1,023.33
  5. Step 5: Solve for x
    x = 1,023.33/26.90
  6. Step 6: Final answer
    x = 38.04

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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.