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Finding the Fourth Proportional to 17.00, 25.45 and 11.91

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Solution

The fourth proportional to 17.00, 25.45 and 11.91 is: 17.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.00 : 25.45 = 11.91 : x
  2. Step 2: Convert to fraction form
    17.00/25.45 = 11.91/x
  3. Step 3: Cross multiply
    17.00x = 25.45 × 11.91
  4. Step 4: Simplify right side
    17.00x = 303.18
  5. Step 5: Solve for x
    x = 303.18/17.00
  6. Step 6: Final answer
    x = 17.83

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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.