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Finding the Fourth Proportional to 14.65, 20.23 and 11.23

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Solution

The fourth proportional to 14.65, 20.23 and 11.23 is: 15.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.65 : 20.23 = 11.23 : x
  2. Step 2: Convert to fraction form
    14.65/20.23 = 11.23/x
  3. Step 3: Cross multiply
    14.65x = 20.23 × 11.23
  4. Step 4: Simplify right side
    14.65x = 227.18
  5. Step 5: Solve for x
    x = 227.18/14.65
  6. Step 6: Final answer
    x = 15.51

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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.