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Finding the Fourth Proportional to 26.41, 39.65 and 16.78

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Solution

The fourth proportional to 26.41, 39.65 and 16.78 is: 25.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.41 : 39.65 = 16.78 : x
  2. Step 2: Convert to fraction form
    26.41/39.65 = 16.78/x
  3. Step 3: Cross multiply
    26.41x = 39.65 × 16.78
  4. Step 4: Simplify right side
    26.41x = 665.24
  5. Step 5: Solve for x
    x = 665.24/26.41
  6. Step 6: Final answer
    x = 25.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.