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Finding the Fourth Proportional to 24.22, 33.43 and 15.00

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Solution

The fourth proportional to 24.22, 33.43 and 15.00 is: 20.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.22 : 33.43 = 15.00 : x
  2. Step 2: Convert to fraction form
    24.22/33.43 = 15.00/x
  3. Step 3: Cross multiply
    24.22x = 33.43 × 15.00
  4. Step 4: Simplify right side
    24.22x = 501.46
  5. Step 5: Solve for x
    x = 501.46/24.22
  6. Step 6: Final answer
    x = 20.71

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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.