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Finding the Fourth Proportional to 22.57, 33.98 and 16.61

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Solution

The fourth proportional to 22.57, 33.98 and 16.61 is: 25.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 33.98 = 16.61 : x
  2. Step 2: Convert to fraction form
    22.57/33.98 = 16.61/x
  3. Step 3: Cross multiply
    22.57x = 33.98 × 16.61
  4. Step 4: Simplify right side
    22.57x = 564.15
  5. Step 5: Solve for x
    x = 564.15/22.57
  6. Step 6: Final answer
    x = 25.00

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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.