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Finding the Fourth Proportional to 260.76, 359.96 and 162.58

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Solution

The fourth proportional to 260.76, 359.96 and 162.58 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 359.96 = 162.58 : x
  2. Step 2: Convert to fraction form
    260.76/359.96 = 162.58/x
  3. Step 3: Cross multiply
    260.76x = 359.96 × 162.58
  4. Step 4: Simplify right side
    260.76x = 58,522.30
  5. Step 5: Solve for x
    x = 58,522.30/260.76
  6. Step 6: Final answer
    x = 224.43

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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.