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Finding the Fourth Proportional to 257.96, 355.79 and 174.94

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Solution

The fourth proportional to 257.96, 355.79 and 174.94 is: 241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 355.79 = 174.94 : x
  2. Step 2: Convert to fraction form
    257.96/355.79 = 174.94/x
  3. Step 3: Cross multiply
    257.96x = 355.79 × 174.94
  4. Step 4: Simplify right side
    257.96x = 62,241.45
  5. Step 5: Solve for x
    x = 62,241.45/257.96
  6. Step 6: Final answer
    x = 241.28

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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.