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Finding the Fourth Proportional to 257.54, 355.46 and 213.80

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Solution

The fourth proportional to 257.54, 355.46 and 213.80 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.54 : 355.46 = 213.80 : x
  2. Step 2: Convert to fraction form
    257.54/355.46 = 213.80/x
  3. Step 3: Cross multiply
    257.54x = 355.46 × 213.80
  4. Step 4: Simplify right side
    257.54x = 75,994.50
  5. Step 5: Solve for x
    x = 75,994.50/257.54
  6. Step 6: Final answer
    x = 295.08

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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.