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Finding the Fourth Proportional to 18.06, 27.10 and 15.80

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Solution

The fourth proportional to 18.06, 27.10 and 15.80 is: 23.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.06 : 27.10 = 15.80 : x
  2. Step 2: Convert to fraction form
    18.06/27.10 = 15.80/x
  3. Step 3: Cross multiply
    18.06x = 27.10 × 15.80
  4. Step 4: Simplify right side
    18.06x = 428.18
  5. Step 5: Solve for x
    x = 428.18/18.06
  6. Step 6: Final answer
    x = 23.71

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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.