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Finding the Fourth Proportional to 258.31, 355.86 and 213.87

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Solution

The fourth proportional to 258.31, 355.86 and 213.87 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.31 : 355.86 = 213.87 : x
  2. Step 2: Convert to fraction form
    258.31/355.86 = 213.87/x
  3. Step 3: Cross multiply
    258.31x = 355.86 × 213.87
  4. Step 4: Simplify right side
    258.31x = 76,107.78
  5. Step 5: Solve for x
    x = 76,107.78/258.31
  6. Step 6: Final answer
    x = 294.64

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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.