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Finding the Fourth Proportional to 27.37, 40.82 and 25.39

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Solution

The fourth proportional to 27.37, 40.82 and 25.39 is: 37.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.37 : 40.82 = 25.39 : x
  2. Step 2: Convert to fraction form
    27.37/40.82 = 25.39/x
  3. Step 3: Cross multiply
    27.37x = 40.82 × 25.39
  4. Step 4: Simplify right side
    27.37x = 1,036.42
  5. Step 5: Solve for x
    x = 1,036.42/27.37
  6. Step 6: Final answer
    x = 37.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.