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Finding the Fourth Proportional to 14.89, 20.42 and 14.20

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Solution

The fourth proportional to 14.89, 20.42 and 14.20 is: 19.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.89 : 20.42 = 14.20 : x
  2. Step 2: Convert to fraction form
    14.89/20.42 = 14.20/x
  3. Step 3: Cross multiply
    14.89x = 20.42 × 14.20
  4. Step 4: Simplify right side
    14.89x = 289.96
  5. Step 5: Solve for x
    x = 289.96/14.89
  6. Step 6: Final answer
    x = 19.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.