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Finding the Fourth Proportional to 13.29, 18.35 and 10.23

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Solution

The fourth proportional to 13.29, 18.35 and 10.23 is: 14.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.29 : 18.35 = 10.23 : x
  2. Step 2: Convert to fraction form
    13.29/18.35 = 10.23/x
  3. Step 3: Cross multiply
    13.29x = 18.35 × 10.23
  4. Step 4: Simplify right side
    13.29x = 187.72
  5. Step 5: Solve for x
    x = 187.72/13.29
  6. Step 6: Final answer
    x = 14.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.