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Finding the Fourth Proportional to 26.30, 36.09 and 23.98

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Solution

The fourth proportional to 26.30, 36.09 and 23.98 is: 32.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.30 : 36.09 = 23.98 : x
  2. Step 2: Convert to fraction form
    26.30/36.09 = 23.98/x
  3. Step 3: Cross multiply
    26.30x = 36.09 × 23.98
  4. Step 4: Simplify right side
    26.30x = 865.44
  5. Step 5: Solve for x
    x = 865.44/26.30
  6. Step 6: Final answer
    x = 32.91

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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.