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Finding the Fourth Proportional to 258.24, 354.32 and 251.84

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Solution

The fourth proportional to 258.24, 354.32 and 251.84 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 354.32 = 251.84 : x
  2. Step 2: Convert to fraction form
    258.24/354.32 = 251.84/x
  3. Step 3: Cross multiply
    258.24x = 354.32 × 251.84
  4. Step 4: Simplify right side
    258.24x = 89,231.95
  5. Step 5: Solve for x
    x = 89,231.95/258.24
  6. Step 6: Final answer
    x = 345.54

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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.