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Finding the Fourth Proportional to 160.49, 221.38 and 149.69

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Solution

The fourth proportional to 160.49, 221.38 and 149.69 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.49 : 221.38 = 149.69 : x
  2. Step 2: Convert to fraction form
    160.49/221.38 = 149.69/x
  3. Step 3: Cross multiply
    160.49x = 221.38 × 149.69
  4. Step 4: Simplify right side
    160.49x = 33,136.89
  5. Step 5: Solve for x
    x = 33,136.89/160.49
  6. Step 6: Final answer
    x = 206.48

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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.