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Finding the Fourth Proportional to 220.96, 331.68 and 135.68

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Solution

The fourth proportional to 220.96, 331.68 and 135.68 is: 203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 331.68 = 135.68 : x
  2. Step 2: Convert to fraction form
    220.96/331.68 = 135.68/x
  3. Step 3: Cross multiply
    220.96x = 331.68 × 135.68
  4. Step 4: Simplify right side
    220.96x = 45,002.34
  5. Step 5: Solve for x
    x = 45,002.34/220.96
  6. Step 6: Final answer
    x = 203.67

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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.