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Finding the Fourth Proportional to 160.26, 221.16 and 94.75

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Solution

The fourth proportional to 160.26, 221.16 and 94.75 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.26 : 221.16 = 94.75 : x
  2. Step 2: Convert to fraction form
    160.26/221.16 = 94.75/x
  3. Step 3: Cross multiply
    160.26x = 221.16 × 94.75
  4. Step 4: Simplify right side
    160.26x = 20,954.91
  5. Step 5: Solve for x
    x = 20,954.91/160.26
  6. Step 6: Final answer
    x = 130.76

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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.