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Finding the Fourth Proportional to 28.31, 39.07 and 16.81

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Solution

The fourth proportional to 28.31, 39.07 and 16.81 is: 23.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.31 : 39.07 = 16.81 : x
  2. Step 2: Convert to fraction form
    28.31/39.07 = 16.81/x
  3. Step 3: Cross multiply
    28.31x = 39.07 × 16.81
  4. Step 4: Simplify right side
    28.31x = 656.77
  5. Step 5: Solve for x
    x = 656.77/28.31
  6. Step 6: Final answer
    x = 23.20

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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.