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Finding the Fourth Proportional to 27.69, 41.30 and 25.67

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Solution

The fourth proportional to 27.69, 41.30 and 25.67 is: 38.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 41.30 = 25.67 : x
  2. Step 2: Convert to fraction form
    27.69/41.30 = 25.67/x
  3. Step 3: Cross multiply
    27.69x = 41.30 × 25.67
  4. Step 4: Simplify right side
    27.69x = 1,059.84
  5. Step 5: Solve for x
    x = 1,059.84/27.69
  6. Step 6: Final answer
    x = 38.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.