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Finding the Fourth Proportional to 257.56, 357.34 and 255.16

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Solution

The fourth proportional to 257.56, 357.34 and 255.16 is: 354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.56 : 357.34 = 255.16 : x
  2. Step 2: Convert to fraction form
    257.56/357.34 = 255.16/x
  3. Step 3: Cross multiply
    257.56x = 357.34 × 255.16
  4. Step 4: Simplify right side
    257.56x = 91,178.87
  5. Step 5: Solve for x
    x = 91,178.87/257.56
  6. Step 6: Final answer
    x = 354.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.