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Finding the Fourth Proportional to 42.11, 63.14 and 27.67

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Solution

The fourth proportional to 42.11, 63.14 and 27.67 is: 41.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.11 : 63.14 = 27.67 : x
  2. Step 2: Convert to fraction form
    42.11/63.14 = 27.67/x
  3. Step 3: Cross multiply
    42.11x = 63.14 × 27.67
  4. Step 4: Simplify right side
    42.11x = 1,747.08
  5. Step 5: Solve for x
    x = 1,747.08/42.11
  6. Step 6: Final answer
    x = 41.49

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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.