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Finding the Fourth Proportional to 27.99, 42.17 and 25.86

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Solution

The fourth proportional to 27.99, 42.17 and 25.86 is: 38.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.99 : 42.17 = 25.86 : x
  2. Step 2: Convert to fraction form
    27.99/42.17 = 25.86/x
  3. Step 3: Cross multiply
    27.99x = 42.17 × 25.86
  4. Step 4: Simplify right side
    27.99x = 1,090.39
  5. Step 5: Solve for x
    x = 1,090.39/27.99
  6. Step 6: Final answer
    x = 38.96

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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.