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Finding the Fourth Proportional to 260.97, 355.32 and 260.16

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Solution

The fourth proportional to 260.97, 355.32 and 260.16 is: 354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.97 : 355.32 = 260.16 : x
  2. Step 2: Convert to fraction form
    260.97/355.32 = 260.16/x
  3. Step 3: Cross multiply
    260.97x = 355.32 × 260.16
  4. Step 4: Simplify right side
    260.97x = 92,440.05
  5. Step 5: Solve for x
    x = 92,440.05/260.97
  6. Step 6: Final answer
    x = 354.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.