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Finding the Fourth Proportional to 160.32, 221.22 and 94.82

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Solution

The fourth proportional to 160.32, 221.22 and 94.82 is: 130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.32 : 221.22 = 94.82 : x
  2. Step 2: Convert to fraction form
    160.32/221.22 = 94.82/x
  3. Step 3: Cross multiply
    160.32x = 221.22 × 94.82
  4. Step 4: Simplify right side
    160.32x = 20,976.08
  5. Step 5: Solve for x
    x = 20,976.08/160.32
  6. Step 6: Final answer
    x = 130.84

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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.