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Finding the Fourth Proportional to 27.32, 40.86 and 20.43

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Solution

The fourth proportional to 27.32, 40.86 and 20.43 is: 30.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.32 : 40.86 = 20.43 : x
  2. Step 2: Convert to fraction form
    27.32/40.86 = 20.43/x
  3. Step 3: Cross multiply
    27.32x = 40.86 × 20.43
  4. Step 4: Simplify right side
    27.32x = 834.77
  5. Step 5: Solve for x
    x = 834.77/27.32
  6. Step 6: Final answer
    x = 30.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.