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Finding the Fourth Proportional to 26.27, 39.71 and 26.27

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Solution

The fourth proportional to 26.27, 39.71 and 26.27 is: 39.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.27 : 39.71 = 26.27 : x
  2. Step 2: Convert to fraction form
    26.27/39.71 = 26.27/x
  3. Step 3: Cross multiply
    26.27x = 39.71 × 26.27
  4. Step 4: Simplify right side
    26.27x = 1,043.05
  5. Step 5: Solve for x
    x = 1,043.05/26.27
  6. Step 6: Final answer
    x = 39.71

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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.