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Finding the Fourth Proportional to 259.38, 357.78 and 160.92

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Solution

The fourth proportional to 259.38, 357.78 and 160.92 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.38 : 357.78 = 160.92 : x
  2. Step 2: Convert to fraction form
    259.38/357.78 = 160.92/x
  3. Step 3: Cross multiply
    259.38x = 357.78 × 160.92
  4. Step 4: Simplify right side
    259.38x = 57,573.96
  5. Step 5: Solve for x
    x = 57,573.96/259.38
  6. Step 6: Final answer
    x = 221.97

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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.