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Finding the Fourth Proportional to 18.42, 25.46 and 16.80

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Solution

The fourth proportional to 18.42, 25.46 and 16.80 is: 23.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.42 : 25.46 = 16.80 : x
  2. Step 2: Convert to fraction form
    18.42/25.46 = 16.80/x
  3. Step 3: Cross multiply
    18.42x = 25.46 × 16.80
  4. Step 4: Simplify right side
    18.42x = 427.73
  5. Step 5: Solve for x
    x = 427.73/18.42
  6. Step 6: Final answer
    x = 23.22

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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.