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Finding the Fourth Proportional to 26.89, 40.23 and 19.66

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Solution

The fourth proportional to 26.89, 40.23 and 19.66 is: 29.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.89 : 40.23 = 19.66 : x
  2. Step 2: Convert to fraction form
    26.89/40.23 = 19.66/x
  3. Step 3: Cross multiply
    26.89x = 40.23 × 19.66
  4. Step 4: Simplify right side
    26.89x = 790.92
  5. Step 5: Solve for x
    x = 790.92/26.89
  6. Step 6: Final answer
    x = 29.41

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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.