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Finding the Fourth Proportional to 27.75, 41.60 and 10.39

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Solution

The fourth proportional to 27.75, 41.60 and 10.39 is: 15.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.75 : 41.60 = 10.39 : x
  2. Step 2: Convert to fraction form
    27.75/41.60 = 10.39/x
  3. Step 3: Cross multiply
    27.75x = 41.60 × 10.39
  4. Step 4: Simplify right side
    27.75x = 432.30
  5. Step 5: Solve for x
    x = 432.30/27.75
  6. Step 6: Final answer
    x = 15.58

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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.