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Finding the Fourth Proportional to 160.67, 221.82 and 133.04

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Solution

The fourth proportional to 160.67, 221.82 and 133.04 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.67 : 221.82 = 133.04 : x
  2. Step 2: Convert to fraction form
    160.67/221.82 = 133.04/x
  3. Step 3: Cross multiply
    160.67x = 221.82 × 133.04
  4. Step 4: Simplify right side
    160.67x = 29,510.93
  5. Step 5: Solve for x
    x = 29,510.93/160.67
  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.