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Finding the Fourth Proportional to 160.91, 222.06 and 90.97

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Solution

The fourth proportional to 160.91, 222.06 and 90.97 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.91 : 222.06 = 90.97 : x
  2. Step 2: Convert to fraction form
    160.91/222.06 = 90.97/x
  3. Step 3: Cross multiply
    160.91x = 222.06 × 90.97
  4. Step 4: Simplify right side
    160.91x = 20,199.90
  5. Step 5: Solve for x
    x = 20,199.90/160.91
  6. Step 6: Final answer
    x = 125.54

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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.