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Finding the Fourth Proportional to 257.07, 356.24 and 252.21

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Solution

The fourth proportional to 257.07, 356.24 and 252.21 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.07 : 356.24 = 252.21 : x
  2. Step 2: Convert to fraction form
    257.07/356.24 = 252.21/x
  3. Step 3: Cross multiply
    257.07x = 356.24 × 252.21
  4. Step 4: Simplify right side
    257.07x = 89,847.29
  5. Step 5: Solve for x
    x = 89,847.29/257.07
  6. Step 6: Final answer
    x = 349.51

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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.