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Finding the Fourth Proportional to 16.66, 25.09 and 14.41

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Solution

The fourth proportional to 16.66, 25.09 and 14.41 is: 21.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.66 : 25.09 = 14.41 : x
  2. Step 2: Convert to fraction form
    16.66/25.09 = 14.41/x
  3. Step 3: Cross multiply
    16.66x = 25.09 × 14.41
  4. Step 4: Simplify right side
    16.66x = 361.35
  5. Step 5: Solve for x
    x = 361.35/16.66
  6. Step 6: Final answer
    x = 21.70

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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.