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Finding the Fourth Proportional to 16.64, 22.79 and 16.59

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Solution

The fourth proportional to 16.64, 22.79 and 16.59 is: 22.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.64 : 22.79 = 16.59 : x
  2. Step 2: Convert to fraction form
    16.64/22.79 = 16.59/x
  3. Step 3: Cross multiply
    16.64x = 22.79 × 16.59
  4. Step 4: Simplify right side
    16.64x = 378.09
  5. Step 5: Solve for x
    x = 378.09/16.64
  6. Step 6: Final answer
    x = 22.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.