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Finding the Fourth Proportional to 160.56, 221.22 and 123.65

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Solution

The fourth proportional to 160.56, 221.22 and 123.65 is: 170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 221.22 = 123.65 : x
  2. Step 2: Convert to fraction form
    160.56/221.22 = 123.65/x
  3. Step 3: Cross multiply
    160.56x = 221.22 × 123.65
  4. Step 4: Simplify right side
    160.56x = 27,352.75
  5. Step 5: Solve for x
    x = 27,352.75/160.56
  6. Step 6: Final answer
    x = 170.36

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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.