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Finding the Fourth Proportional to 397.87, 548.84 and 257.79

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Solution

The fourth proportional to 397.87, 548.84 and 257.79 is: 355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.87 : 548.84 = 257.79 : x
  2. Step 2: Convert to fraction form
    397.87/548.84 = 257.79/x
  3. Step 3: Cross multiply
    397.87x = 548.84 × 257.79
  4. Step 4: Simplify right side
    397.87x = 141,485.46
  5. Step 5: Solve for x
    x = 141,485.46/397.87
  6. Step 6: Final answer
    x = 355.61

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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.