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Finding the Fourth Proportional to 40.82, 61.18 and 31.81

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Solution

The fourth proportional to 40.82, 61.18 and 31.81 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 61.18 = 31.81 : x
  2. Step 2: Convert to fraction form
    40.82/61.18 = 31.81/x
  3. Step 3: Cross multiply
    40.82x = 61.18 × 31.81
  4. Step 4: Simplify right side
    40.82x = 1,945.90
  5. Step 5: Solve for x
    x = 1,945.90/40.82
  6. Step 6: Final answer
    x = 47.67

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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.