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Finding the Fourth Proportional to 257.57, 388.39 and 252.71

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Solution

The fourth proportional to 257.57, 388.39 and 252.71 is: 381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.57 : 388.39 = 252.71 : x
  2. Step 2: Convert to fraction form
    257.57/388.39 = 252.71/x
  3. Step 3: Cross multiply
    257.57x = 388.39 × 252.71
  4. Step 4: Simplify right side
    257.57x = 98,147.46
  5. Step 5: Solve for x
    x = 98,147.46/257.57
  6. Step 6: Final answer
    x = 381.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.