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Finding the Fourth Proportional to 257.96, 355.57 and 175.04

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Solution

The fourth proportional to 257.96, 355.57 and 175.04 is: 241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 355.57 = 175.04 : x
  2. Step 2: Convert to fraction form
    257.96/355.57 = 175.04/x
  3. Step 3: Cross multiply
    257.96x = 355.57 × 175.04
  4. Step 4: Simplify right side
    257.96x = 62,238.97
  5. Step 5: Solve for x
    x = 62,238.97/257.96
  6. Step 6: Final answer
    x = 241.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.