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Finding the Fourth Proportional to 26.38, 36.40 and 16.68

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Solution

The fourth proportional to 26.38, 36.40 and 16.68 is: 23.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.38 : 36.40 = 16.68 : x
  2. Step 2: Convert to fraction form
    26.38/36.40 = 16.68/x
  3. Step 3: Cross multiply
    26.38x = 36.40 × 16.68
  4. Step 4: Simplify right side
    26.38x = 607.15
  5. Step 5: Solve for x
    x = 607.15/26.38
  6. Step 6: Final answer
    x = 23.02

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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.