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Finding the Fourth Proportional to 258.52, 354.41 and 252.52

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Solution

The fourth proportional to 258.52, 354.41 and 252.52 is: 346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 354.41 = 252.52 : x
  2. Step 2: Convert to fraction form
    258.52/354.41 = 252.52/x
  3. Step 3: Cross multiply
    258.52x = 354.41 × 252.52
  4. Step 4: Simplify right side
    258.52x = 89,495.61
  5. Step 5: Solve for x
    x = 89,495.61/258.52
  6. Step 6: Final answer
    x = 346.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.