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Finding the Fourth Proportional to 16.50, 22.65 and 15.27

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Solution

The fourth proportional to 16.50, 22.65 and 15.27 is: 20.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 22.65 = 15.27 : x
  2. Step 2: Convert to fraction form
    16.50/22.65 = 15.27/x
  3. Step 3: Cross multiply
    16.50x = 22.65 × 15.27
  4. Step 4: Simplify right side
    16.50x = 345.87
  5. Step 5: Solve for x
    x = 345.87/16.50
  6. Step 6: Final answer
    x = 20.96

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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.