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Finding the Fourth Proportional to 16.20, 24.47 and 15.42

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Solution

The fourth proportional to 16.20, 24.47 and 15.42 is: 23.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.20 : 24.47 = 15.42 : x
  2. Step 2: Convert to fraction form
    16.20/24.47 = 15.42/x
  3. Step 3: Cross multiply
    16.20x = 24.47 × 15.42
  4. Step 4: Simplify right side
    16.20x = 377.25
  5. Step 5: Solve for x
    x = 377.25/16.20
  6. Step 6: Final answer
    x = 23.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.