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Finding the Fourth Proportional to 27.86, 41.80 and 18.30

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Solution

The fourth proportional to 27.86, 41.80 and 18.30 is: 27.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.86 : 41.80 = 18.30 : x
  2. Step 2: Convert to fraction form
    27.86/41.80 = 18.30/x
  3. Step 3: Cross multiply
    27.86x = 41.80 × 18.30
  4. Step 4: Simplify right side
    27.86x = 764.94
  5. Step 5: Solve for x
    x = 764.94/27.86
  6. Step 6: Final answer
    x = 27.46

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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.