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Finding the Fourth Proportional to 13.99, 19.34 and 13.29

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Solution

The fourth proportional to 13.99, 19.34 and 13.29 is: 18.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.99 : 19.34 = 13.29 : x
  2. Step 2: Convert to fraction form
    13.99/19.34 = 13.29/x
  3. Step 3: Cross multiply
    13.99x = 19.34 × 13.29
  4. Step 4: Simplify right side
    13.99x = 257.01
  5. Step 5: Solve for x
    x = 257.01/13.99
  6. Step 6: Final answer
    x = 18.37

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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.