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Finding the Fourth Proportional to 270.97, 406.34 and 85.81

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Solution

The fourth proportional to 270.97, 406.34 and 85.81 is: 128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.97 : 406.34 = 85.81 : x
  2. Step 2: Convert to fraction form
    270.97/406.34 = 85.81/x
  3. Step 3: Cross multiply
    270.97x = 406.34 × 85.81
  4. Step 4: Simplify right side
    270.97x = 34,866.59
  5. Step 5: Solve for x
    x = 34,866.59/270.97
  6. Step 6: Final answer
    x = 128.67

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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.