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Finding the Fourth Proportional to 257.04, 352.62 and 249.75

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Solution

The fourth proportional to 257.04, 352.62 and 249.75 is: 342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 352.62 = 249.75 : x
  2. Step 2: Convert to fraction form
    257.04/352.62 = 249.75/x
  3. Step 3: Cross multiply
    257.04x = 352.62 × 249.75
  4. Step 4: Simplify right side
    257.04x = 88,066.85
  5. Step 5: Solve for x
    x = 88,066.85/257.04
  6. Step 6: Final answer
    x = 342.62

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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.