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Finding the Fourth Proportional to 24.45, 36.62 and 20.16

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Solution

The fourth proportional to 24.45, 36.62 and 20.16 is: 30.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.45 : 36.62 = 20.16 : x
  2. Step 2: Convert to fraction form
    24.45/36.62 = 20.16/x
  3. Step 3: Cross multiply
    24.45x = 36.62 × 20.16
  4. Step 4: Simplify right side
    24.45x = 738.31
  5. Step 5: Solve for x
    x = 738.31/24.45
  6. Step 6: Final answer
    x = 30.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.