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Finding the Fourth Proportional to 27.11, 37.37 and 24.81

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Solution

The fourth proportional to 27.11, 37.37 and 24.81 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.11 : 37.37 = 24.81 : x
  2. Step 2: Convert to fraction form
    27.11/37.37 = 24.81/x
  3. Step 3: Cross multiply
    27.11x = 37.37 × 24.81
  4. Step 4: Simplify right side
    27.11x = 927.21
  5. Step 5: Solve for x
    x = 927.21/27.11
  6. Step 6: Final answer
    x = 34.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.