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Finding the Fourth Proportional to 260.60, 361.96 and 253.31

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Solution

The fourth proportional to 260.60, 361.96 and 253.31 is: 351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.60 : 361.96 = 253.31 : x
  2. Step 2: Convert to fraction form
    260.60/361.96 = 253.31/x
  3. Step 3: Cross multiply
    260.60x = 361.96 × 253.31
  4. Step 4: Simplify right side
    260.60x = 91,686.66
  5. Step 5: Solve for x
    x = 91,686.66/260.60
  6. Step 6: Final answer
    x = 351.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.