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Finding the Fourth Proportional to 27.66, 37.98 and 25.86

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Solution

The fourth proportional to 27.66, 37.98 and 25.86 is: 35.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.66 : 37.98 = 25.86 : x
  2. Step 2: Convert to fraction form
    27.66/37.98 = 25.86/x
  3. Step 3: Cross multiply
    27.66x = 37.98 × 25.86
  4. Step 4: Simplify right side
    27.66x = 982.16
  5. Step 5: Solve for x
    x = 982.16/27.66
  6. Step 6: Final answer
    x = 35.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.