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Finding the Fourth Proportional to 14.49, 20.12 and 14.36

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Solution

The fourth proportional to 14.49, 20.12 and 14.36 is: 19.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.49 : 20.12 = 14.36 : x
  2. Step 2: Convert to fraction form
    14.49/20.12 = 14.36/x
  3. Step 3: Cross multiply
    14.49x = 20.12 × 14.36
  4. Step 4: Simplify right side
    14.49x = 288.75
  5. Step 5: Solve for x
    x = 288.75/14.49
  6. Step 6: Final answer
    x = 19.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.