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Finding the Fourth Proportional to 258.35, 355.98 and 175.31

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Solution

The fourth proportional to 258.35, 355.98 and 175.31 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.35 : 355.98 = 175.31 : x
  2. Step 2: Convert to fraction form
    258.35/355.98 = 175.31/x
  3. Step 3: Cross multiply
    258.35x = 355.98 × 175.31
  4. Step 4: Simplify right side
    258.35x = 62,406.85
  5. Step 5: Solve for x
    x = 62,406.85/258.35
  6. Step 6: Final answer
    x = 241.56

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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.