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Finding the Fourth Proportional to 257.18, 357.21 and 249.48

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Solution

The fourth proportional to 257.18, 357.21 and 249.48 is: 346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.18 : 357.21 = 249.48 : x
  2. Step 2: Convert to fraction form
    257.18/357.21 = 249.48/x
  3. Step 3: Cross multiply
    257.18x = 357.21 × 249.48
  4. Step 4: Simplify right side
    257.18x = 89,116.75
  5. Step 5: Solve for x
    x = 89,116.75/257.18
  6. Step 6: Final answer
    x = 346.52

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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.