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Finding the Fourth Proportional to 161.07, 221.85 and 133.35

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Solution

The fourth proportional to 161.07, 221.85 and 133.35 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.07 : 221.85 = 133.35 : x
  2. Step 2: Convert to fraction form
    161.07/221.85 = 133.35/x
  3. Step 3: Cross multiply
    161.07x = 221.85 × 133.35
  4. Step 4: Simplify right side
    161.07x = 29,583.70
  5. Step 5: Solve for x
    x = 29,583.70/161.07
  6. Step 6: Final answer
    x = 183.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.