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Finding the Fourth Proportional to 263.60, 361.05 and 248.65

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Solution

The fourth proportional to 263.60, 361.05 and 248.65 is: 340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 361.05 = 248.65 : x
  2. Step 2: Convert to fraction form
    263.60/361.05 = 248.65/x
  3. Step 3: Cross multiply
    263.60x = 361.05 × 248.65
  4. Step 4: Simplify right side
    263.60x = 89,772.03
  5. Step 5: Solve for x
    x = 89,772.03/263.60
  6. Step 6: Final answer
    x = 340.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.