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Finding the Fourth Proportional to 17.21, 23.64 and 15.05

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Solution

The fourth proportional to 17.21, 23.64 and 15.05 is: 20.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.21 : 23.64 = 15.05 : x
  2. Step 2: Convert to fraction form
    17.21/23.64 = 15.05/x
  3. Step 3: Cross multiply
    17.21x = 23.64 × 15.05
  4. Step 4: Simplify right side
    17.21x = 355.66
  5. Step 5: Solve for x
    x = 355.66/17.21
  6. Step 6: Final answer
    x = 20.67

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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.