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Finding the Fourth Proportional to 26.63, 40.17 and 25.57

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Solution

The fourth proportional to 26.63, 40.17 and 25.57 is: 38.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.63 : 40.17 = 25.57 : x
  2. Step 2: Convert to fraction form
    26.63/40.17 = 25.57/x
  3. Step 3: Cross multiply
    26.63x = 40.17 × 25.57
  4. Step 4: Simplify right side
    26.63x = 1,027.00
  5. Step 5: Solve for x
    x = 1,027.00/26.63
  6. Step 6: Final answer
    x = 38.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.