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Finding the Fourth Proportional to 16.84, 23.40 and 16.66

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Solution

The fourth proportional to 16.84, 23.40 and 16.66 is: 23.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.84 : 23.40 = 16.66 : x
  2. Step 2: Convert to fraction form
    16.84/23.40 = 16.66/x
  3. Step 3: Cross multiply
    16.84x = 23.40 × 16.66
  4. Step 4: Simplify right side
    16.84x = 389.84
  5. Step 5: Solve for x
    x = 389.84/16.84
  6. Step 6: Final answer
    x = 23.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.