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Finding the Fourth Proportional to 14.35, 21.41 and 12.23

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Solution

The fourth proportional to 14.35, 21.41 and 12.23 is: 18.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.35 : 21.41 = 12.23 : x
  2. Step 2: Convert to fraction form
    14.35/21.41 = 12.23/x
  3. Step 3: Cross multiply
    14.35x = 21.41 × 12.23
  4. Step 4: Simplify right side
    14.35x = 261.84
  5. Step 5: Solve for x
    x = 261.84/14.35
  6. Step 6: Final answer
    x = 18.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.